please explain the integral and derivative logarithm rules with examples
Q. I know every book gives this example The derivative of ln(x) is (1/x)dx. The integral of (1/x)dx is ln|x| but why does the logarithm get inverted each time? Please explain this, thank you
Asked by sammynashley - Tue Aug 5 23:43:56 2008 - - 2 Answers - 0 Comments
A. for derivative derivative of log(base b) of u=du/(uln(b)dx) so if you had d/dx(log(base 10) of x^2) it would be (2x)/(x^2ln(10)dx) also derivative of ln(u) is du/u so if you had d/dx(ln(x^2)) it would be 2x/x^2 for antiderivative integral of log(base b) of x is xlog(base b) of x/e+C integral of ln(x)=xln(x)-x+C it is weird because if you use the rule int of x^n as x^(n+1)/(n+1) on something like x^-1, you get x^0/0, which doesnt work, so it becomes natural log. make it a good day.
Answered by climberguy12 - Wed Aug 6 00:02:29 2008
Q. I know every book gives this example The derivative of ln(x) is (1/x)dx. The integral of (1/x)dx is ln|x| but why does the logarithm get inverted each time? Please explain this, thank you
Asked by sammynashley - Tue Aug 5 23:43:56 2008 - - 2 Answers - 0 Comments
A. for derivative derivative of log(base b) of u=du/(uln(b)dx) so if you had d/dx(log(base 10) of x^2) it would be (2x)/(x^2ln(10)dx) also derivative of ln(u) is du/u so if you had d/dx(ln(x^2)) it would be 2x/x^2 for antiderivative integral of log(base b) of x is xlog(base b) of x/e+C integral of ln(x)=xln(x)-x+C it is weird because if you use the rule int of x^n as x^(n+1)/(n+1) on something like x^-1, you get x^0/0, which doesnt work, so it becomes natural log. make it a good day.
Answered by climberguy12 - Wed Aug 6 00:02:29 2008
y=e^x: derivative is itself, need two more examples?
Q. y=e^x is a function whose derivative is itself, need two more examples or functions whos derivative is itself and if you can, explain why Thanks
Asked by mtr123a - Sun Apr 20 21:02:18 2008 - - 1 Answers - 0 Comments
A. What happens if y = Ce^x, where C is a constant? (Note this includes the function y = 0, by setting C = 0.) Hope this helps.
Answered by K-Dub - Tue Apr 22 15:23:18 2008
Q. y=e^x is a function whose derivative is itself, need two more examples or functions whos derivative is itself and if you can, explain why Thanks
Asked by mtr123a - Sun Apr 20 21:02:18 2008 - - 1 Answers - 0 Comments
A. What happens if y = Ce^x, where C is a constant? (Note this includes the function y = 0, by setting C = 0.) Hope this helps.
Answered by K-Dub - Tue Apr 22 15:23:18 2008
what are over the counter derivative products?Give Examples?
Q. what are over the counter derivative products?Give Examples?
Asked by sanjay g - Mon May 8 09:30:23 2006 - - 1 Answers - 0 Comments
A. A derivative is a contract that gives you the right to buy or sell an asset at a fixed price in the future. So if the Vodafone share price is 1.20 and I think it's going to drop I might agree a derivative contract to sell 10,000 Vodafone shares at 1.20 in 3 months. If the price of Vodafone is 1.00 after the 3 months are up I've made a profit of 20p per share (or 2,000). Many contracts are traded 'On-Exchange'. That means that they are traded on one of the big exchanges around the world. You pay a trading fee but there are rules in place governing trading and you're guaranteed to get your profit at the end. In the example above, the guy on the other side of the contract can't disappear after 2 months when he realises Vodafone… [cont.]
Answered by popeleo5th - Mon May 8 15:33:24 2006
Q. what are over the counter derivative products?Give Examples?
Asked by sanjay g - Mon May 8 09:30:23 2006 - - 1 Answers - 0 Comments
A. A derivative is a contract that gives you the right to buy or sell an asset at a fixed price in the future. So if the Vodafone share price is 1.20 and I think it's going to drop I might agree a derivative contract to sell 10,000 Vodafone shares at 1.20 in 3 months. If the price of Vodafone is 1.00 after the 3 months are up I've made a profit of 20p per share (or 2,000). Many contracts are traded 'On-Exchange'. That means that they are traded on one of the big exchanges around the world. You pay a trading fee but there are rules in place governing trading and you're guaranteed to get your profit at the end. In the example above, the guy on the other side of the contract can't disappear after 2 months when he realises Vodafone… [cont.]
Answered by popeleo5th - Mon May 8 15:33:24 2006
How do you take the derivative of a logarithmic/exponantial function?
Q. Say, for example, how would I take the derivative of f(x)=X to the (2x) power.
Asked by Do be dop do wahhhh... - Mon Feb 2 23:39:44 2009 - - 1 Answers - 0 Comments
A. f(x) = x^(2x) ln f(x) = 2x lnx 1/f(x) * f'(x) = 2 lnx + 2x * 1/x = 2 ln x + 2 f'(x) = f(x) * (2 ln x + 2) = x^(2x) *(2 ln x + 2)
Answered by Andreas A - Mon Feb 2 23:49:24 2009
Q. Say, for example, how would I take the derivative of f(x)=X to the (2x) power.
Asked by Do be dop do wahhhh... - Mon Feb 2 23:39:44 2009 - - 1 Answers - 0 Comments
A. f(x) = x^(2x) ln f(x) = 2x lnx 1/f(x) * f'(x) = 2 lnx + 2x * 1/x = 2 ln x + 2 f'(x) = f(x) * (2 ln x + 2) = x^(2x) *(2 ln x + 2)
Answered by Andreas A - Mon Feb 2 23:49:24 2009
What are some of the practical application for a derivative or integral?
Q. Hi, I m an engineering student and for the last couple of semester have been working on calculus I and II. The only thing that bothers e about calculus is that I never truly understood what a derivative and integral is? Of course I ve read countless definitions, but I m trying to understand exactly how all this applies to the real world. Would you be able to give me a couple of real life examples where these thing will actual be applicable?
Asked by Derk B - Sat Feb 14 09:30:04 2009 - - 3 Answers - 0 Comments
A. Hi Derk, You have asked a mouthful here but instead of trying to give you the mathematical equations explanation of examples of derivatives and integrals here, I would like to refer you to a text that is applicable to both of us as I have been an engineer for 40 years and you are the next generation. I have found that one of the texts I used in college , "Calculus and Analytical Geometry" written by Sherman K. Stein was an excellent resource to answer questions such as that..for derivations and in our line of work, one may want to find out the optimum amount of metal to be used for a tank...in other words, given a volume, what would be the optimum diameter and side wall height so that the costs of materials are kept to a miminum...page… [cont.]
Answered by think_positive1 - Sat Feb 14 10:11:17 2009
Q. Hi, I m an engineering student and for the last couple of semester have been working on calculus I and II. The only thing that bothers e about calculus is that I never truly understood what a derivative and integral is? Of course I ve read countless definitions, but I m trying to understand exactly how all this applies to the real world. Would you be able to give me a couple of real life examples where these thing will actual be applicable?
Asked by Derk B - Sat Feb 14 09:30:04 2009 - - 3 Answers - 0 Comments
A. Hi Derk, You have asked a mouthful here but instead of trying to give you the mathematical equations explanation of examples of derivatives and integrals here, I would like to refer you to a text that is applicable to both of us as I have been an engineer for 40 years and you are the next generation. I have found that one of the texts I used in college , "Calculus and Analytical Geometry" written by Sherman K. Stein was an excellent resource to answer questions such as that..for derivations and in our line of work, one may want to find out the optimum amount of metal to be used for a tank...in other words, given a volume, what would be the optimum diameter and side wall height so that the costs of materials are kept to a miminum...page… [cont.]
Answered by think_positive1 - Sat Feb 14 10:11:17 2009
Calculus>Derivative. Is there a technique to easily find the derivative?
Q. Our teacher in calculus said that there is a shorter technique to find the derivative of F, but he didn't teach it yet and he said that in our quiz we should use the long method. I should learn the short technique in order to check if my answer is correct because the long method is so complicated that if would occur any mistake it would make my answer wrong. So please do help me. Can a scientific calculor solve derivative? and if yes. How?If not just show the technique for example find the derivative of F is F(x) = 3x^2 + 12
Asked by Patricia - Thu Aug 2 22:08:51 2007 - - 4 Answers - 0 Comments
A. Yes there are shortcuts, but it is standard to learn the limit definition of a derivative first. You will begin learning the shortcuts right afterwards - starting with the power rule, product rule, quotient rule, and chain rule and moving onto other things. And yes, you can do it on a calculator, but why would you want to? That takes the fun out of calculus! Here are the two ways to find the derivative of your example: Limit Definition: F(x) = 3x^2 + 12 F(x + h) = 3(x + h)^2 + 12 = 3x^2 + 6xh + 3h^2 + 12 [F(x+h) - F(x)] / h = [(3x^2 + 6xh + 3h^2 + 12) - (3x^2 + 12)] / h = (6xh + 3h^2) / h = 6x + 3h limit as h-->0 of (6x + 3h) is 6x The power rule: d/dx[F(x)] = d/dx[3x^2 + 12] F'(x) = (2*3)x^(2-1) + 0 = 6x
Answered by whitesox09 - Thu Aug 2 22:17:15 2007
Q. Our teacher in calculus said that there is a shorter technique to find the derivative of F, but he didn't teach it yet and he said that in our quiz we should use the long method. I should learn the short technique in order to check if my answer is correct because the long method is so complicated that if would occur any mistake it would make my answer wrong. So please do help me. Can a scientific calculor solve derivative? and if yes. How?If not just show the technique for example find the derivative of F is F(x) = 3x^2 + 12
Asked by Patricia - Thu Aug 2 22:08:51 2007 - - 4 Answers - 0 Comments
A. Yes there are shortcuts, but it is standard to learn the limit definition of a derivative first. You will begin learning the shortcuts right afterwards - starting with the power rule, product rule, quotient rule, and chain rule and moving onto other things. And yes, you can do it on a calculator, but why would you want to? That takes the fun out of calculus! Here are the two ways to find the derivative of your example: Limit Definition: F(x) = 3x^2 + 12 F(x + h) = 3(x + h)^2 + 12 = 3x^2 + 6xh + 3h^2 + 12 [F(x+h) - F(x)] / h = [(3x^2 + 6xh + 3h^2 + 12) - (3x^2 + 12)] / h = (6xh + 3h^2) / h = 6x + 3h limit as h-->0 of (6x + 3h) is 6x The power rule: d/dx[F(x)] = d/dx[3x^2 + 12] F'(x) = (2*3)x^(2-1) + 0 = 6x
Answered by whitesox09 - Thu Aug 2 22:17:15 2007
How would you find the nth derivative of a function?
Q. For example: f(x) = x^n and f(x) = 1/x Show me and tell me how. I don't need the answers, I just want to know how. Use my examples though. Please be more descriptive than "look at the pattern as you take each derivative".
Asked by APGamerZ - Wed Oct 14 17:27:45 2009 - - 1 Answers - 0 Comments
A. Given that f(x) is continuous for all x... Power rule states that if f(x) = x^n, then f '(x)= nx^n-1 so if g(x)=x^3+10x, then g '(x)= 3x^2+10 For f(x)=1/x, rewrite the problem as f(x)= x^-1 (because a number with a negative exponent is equal to its reciprocal) so with the Power Rule we find that f '(x)= -x^-2 which is equal to f '(x) = -1/x^2
Answered by bigdbzdawg2002 - Thu Oct 15 05:30:42 2009
Q. For example: f(x) = x^n and f(x) = 1/x Show me and tell me how. I don't need the answers, I just want to know how. Use my examples though. Please be more descriptive than "look at the pattern as you take each derivative".
Asked by APGamerZ - Wed Oct 14 17:27:45 2009 - - 1 Answers - 0 Comments
A. Given that f(x) is continuous for all x... Power rule states that if f(x) = x^n, then f '(x)= nx^n-1 so if g(x)=x^3+10x, then g '(x)= 3x^2+10 For f(x)=1/x, rewrite the problem as f(x)= x^-1 (because a number with a negative exponent is equal to its reciprocal) so with the Power Rule we find that f '(x)= -x^-2 which is equal to f '(x) = -1/x^2
Answered by bigdbzdawg2002 - Thu Oct 15 05:30:42 2009
which companies use derivative and for what purpose?
Q. I'm doing my assignment for my degree program and thus trying to use more real life examples to support my arguments. Which are the companies which use derivative to hedge risk and how do they to it? I need successful and unsuccessful examples. Thanks!
Asked by charlottechz - Sun Jun 25 03:04:22 2006 - - 2 Answers - 0 Comments
A. If you are a student you should find the definition of 'Derivative' =something that 'derives' from something else. this is everything! including stocks and todays cash The original item that everything is derived from in todays financial world is Gold! A dollar used to be valued(or derived) from 1/20th of an ounce in 1925, then one dollar was valued at 1/35th ounce of gold in the 1930's, today it is watered down to 1/600th of an ounce of gold etc... further, a dollar is derived from a certain ammount of credit via govt treasury promises(notes,bonds) as of now, there is much more credit(debt) than there is dollars.
Answered by -* - Sun Jun 25 12:42:22 2006
Q. I'm doing my assignment for my degree program and thus trying to use more real life examples to support my arguments. Which are the companies which use derivative to hedge risk and how do they to it? I need successful and unsuccessful examples. Thanks!
Asked by charlottechz - Sun Jun 25 03:04:22 2006 - - 2 Answers - 0 Comments
A. If you are a student you should find the definition of 'Derivative' =something that 'derives' from something else. this is everything! including stocks and todays cash The original item that everything is derived from in todays financial world is Gold! A dollar used to be valued(or derived) from 1/20th of an ounce in 1925, then one dollar was valued at 1/35th ounce of gold in the 1930's, today it is watered down to 1/600th of an ounce of gold etc... further, a dollar is derived from a certain ammount of credit via govt treasury promises(notes,bonds) as of now, there is much more credit(debt) than there is dollars.
Answered by -* - Sun Jun 25 12:42:22 2006
whats the derivative of a constant to a variable power?
Q. I forgot what the rule is when deriving a variable power of a constant. For example : what is the derivative of f(x)= 2^(3x) ?? and then, what is the rule for deriving things like this? i cant find a website that shows it in an easy to read way. thanks for all your help guys!
Asked by unknown - Wed Jul 22 17:31:59 2009 - - 5 Answers - 0 Comments
A. We apply the rule: "The derivative of an exponential function with base a is equal to the natural logarithm of the base times the exponential function." themathpage.com Back to your question. === f(x) = 2^(3x). We use this rule: Let y = 2^(3x). Take the natural log of both sides. lny = 3ln2 * 2^(3x) y ' = 3ln2 * 2^(3x) f ' (x) = 3(ln2) * 2^(3x)
Answered by CUNY - Wed Jul 22 17:50:11 2009
Q. I forgot what the rule is when deriving a variable power of a constant. For example : what is the derivative of f(x)= 2^(3x) ?? and then, what is the rule for deriving things like this? i cant find a website that shows it in an easy to read way. thanks for all your help guys!
Asked by unknown - Wed Jul 22 17:31:59 2009 - - 5 Answers - 0 Comments
A. We apply the rule: "The derivative of an exponential function with base a is equal to the natural logarithm of the base times the exponential function." themathpage.com Back to your question. === f(x) = 2^(3x). We use this rule: Let y = 2^(3x). Take the natural log of both sides. lny = 3ln2 * 2^(3x) y ' = 3ln2 * 2^(3x) f ' (x) = 3(ln2) * 2^(3x)
Answered by CUNY - Wed Jul 22 17:50:11 2009
Where is the error in this derivative example?
Q. x^2=x+x+x+...(x times)...+x Let's take a derivative d/dx 2x=1+1+1+...(x times)+...1 so that 2x=x Why derivative on the lefthand side is not equal to the derivative on righthand side
Asked by Peter Lustmolch - Mon Oct 8 11:05:02 2007 - - 4 Answers - 0 Comments
A. I had the same misinterpretation as como at first; but notice that x*x, by our traditional explanation of multiplication, is x+x+...+x, where there are x terms in the sum. As BNP pointed out, this doesn't work too well when we generalize to real numbers. However, I think the main problem here is that your sum depends on x. Taking the derivative of each side, you say the RHS is 1+1+...+1, with x terms. But we just took the derivative with respect to x! So saying there are "x terms" doesn't work out anymore. Consider the following analogy, using the same traditional explanation of multiplication: x = 1+1+...+1 (x terms). Take derivative wrt x: 1 = 0+0+...+0 (x terms). Again, the problem shows up in that we have "x terms", which we… [cont.]
Answered by Ben - Mon Oct 8 11:52:57 2007
Q. x^2=x+x+x+...(x times)...+x Let's take a derivative d/dx 2x=1+1+1+...(x times)+...1 so that 2x=x Why derivative on the lefthand side is not equal to the derivative on righthand side
Asked by Peter Lustmolch - Mon Oct 8 11:05:02 2007 - - 4 Answers - 0 Comments
A. I had the same misinterpretation as como at first; but notice that x*x, by our traditional explanation of multiplication, is x+x+...+x, where there are x terms in the sum. As BNP pointed out, this doesn't work too well when we generalize to real numbers. However, I think the main problem here is that your sum depends on x. Taking the derivative of each side, you say the RHS is 1+1+...+1, with x terms. But we just took the derivative with respect to x! So saying there are "x terms" doesn't work out anymore. Consider the following analogy, using the same traditional explanation of multiplication: x = 1+1+...+1 (x terms). Take derivative wrt x: 1 = 0+0+...+0 (x terms). Again, the problem shows up in that we have "x terms", which we… [cont.]
Answered by Ben - Mon Oct 8 11:52:57 2007
Example of derivative and hedging - company casestudy?
Q. My topic is : "derivative's a tool for hedging " I want to present a case where a ( known company ) who had been successful in one of its hedging strategy also, a company who was not sucessful at all after going in for hedging its risk using derivatives
Asked by jaggu - Tue May 12 01:31:16 2009 - - 1 Answers - 0 Comments
A. We would have heard a lot about Derivatives & Derivatives Trading. But not many of us are very sure about what a Derivative is. This article is an attempt to help you learn about Derivatives. The word 'Derivative' in Financial terms is similar to the word Derivative in Mathematics. In Maths, a Derivative refers to a value or a variable that has been derived from another variable. Similarly a Financial Derivative is something that is derived out of the market of some other market product. Hence, the Derivatives market cannot stand alone. It has to depend on a commodity or an asset from which it is derived. The price of a derivative instrument is dependent on the value of the asset from which it is derived. The underlying asset can be… [cont.]
Answered by Anand V - Wed May 13 02:15:01 2009
Q. My topic is : "derivative's a tool for hedging " I want to present a case where a ( known company ) who had been successful in one of its hedging strategy also, a company who was not sucessful at all after going in for hedging its risk using derivatives
Asked by jaggu - Tue May 12 01:31:16 2009 - - 1 Answers - 0 Comments
A. We would have heard a lot about Derivatives & Derivatives Trading. But not many of us are very sure about what a Derivative is. This article is an attempt to help you learn about Derivatives. The word 'Derivative' in Financial terms is similar to the word Derivative in Mathematics. In Maths, a Derivative refers to a value or a variable that has been derived from another variable. Similarly a Financial Derivative is something that is derived out of the market of some other market product. Hence, the Derivatives market cannot stand alone. It has to depend on a commodity or an asset from which it is derived. The price of a derivative instrument is dependent on the value of the asset from which it is derived. The underlying asset can be… [cont.]
Answered by Anand V - Wed May 13 02:15:01 2009
What's the rule of copyright of derivative work?
Q. I saw an image and traced it on the computer...and made a silhouette..of it..and modified it a little... would that classify as a derivative or copyright infringement even though I altered it... whats the rule on that...? any examples...
Asked by James Bong - Tue Jan 6 23:21:38 2009 - - 1 Answers - 0 Comments
A. There are rules of copyright which mean that your work has to be similar in several points to be the original which you used for it to be identified as a copy. Having seen the original you could claim that it inspired you to do your own work. Without seeing the original and your product, it would not be possible for any one to tell.
Answered by english rosethorn - Tue Jan 6 23:42:30 2009
Q. I saw an image and traced it on the computer...and made a silhouette..of it..and modified it a little... would that classify as a derivative or copyright infringement even though I altered it... whats the rule on that...? any examples...
Asked by James Bong - Tue Jan 6 23:21:38 2009 - - 1 Answers - 0 Comments
A. There are rules of copyright which mean that your work has to be similar in several points to be the original which you used for it to be identified as a copy. Having seen the original you could claim that it inspired you to do your own work. Without seeing the original and your product, it would not be possible for any one to tell.
Answered by english rosethorn - Tue Jan 6 23:42:30 2009
What are some functions that yield a derivative of x?
Q. For example, functions like f(x)=2x and f(x)=2x+88 yield a derivative of 2. If I'm looking for some functions that yield a derivative of x, what would be some?
Asked by Bryan - Wed Dec 3 17:53:43 2008 - - 2 Answers - 0 Comments
A. In general, 0.5x^2 + C
Answered by swimdemon311 - Wed Dec 3 17:56:54 2008
Q. For example, functions like f(x)=2x and f(x)=2x+88 yield a derivative of 2. If I'm looking for some functions that yield a derivative of x, what would be some?
Asked by Bryan - Wed Dec 3 17:53:43 2008 - - 2 Answers - 0 Comments
A. In general, 0.5x^2 + C
Answered by swimdemon311 - Wed Dec 3 17:56:54 2008
Finding the original equation from a derivative?
Q. For one of our upcoming tests we are required to find the original equation when given its derivative. I am comfortable finding the derivative for equations but am not sure how to do it the other way around. I don't have any specific examples, but general guidelines and a sample would really help!
Asked by instantlynerd - Thu Mar 20 00:07:11 2008 - - 5 Answers - 1 Comments
A. Integrate. Example f `(x) = 3x + 4x + 7 f (x) = 3x + 4x + 7 dx f (x) = x + 2x + 7x + C
Answered by como - Thu Mar 20 05:33:12 2008
Q. For one of our upcoming tests we are required to find the original equation when given its derivative. I am comfortable finding the derivative for equations but am not sure how to do it the other way around. I don't have any specific examples, but general guidelines and a sample would really help!
Asked by instantlynerd - Thu Mar 20 00:07:11 2008 - - 5 Answers - 1 Comments
A. Integrate. Example f `(x) = 3x + 4x + 7 f (x) = 3x + 4x + 7 dx f (x) = x + 2x + 7x + C
Answered by como - Thu Mar 20 05:33:12 2008
how do i find the original function when given its derivative?
Q. if i am given the derivative of a function, how do i solve for the original function? hope this makes sense, thanks. :) for example, f'x t^1/2 how do i find fx?
Asked by ricepaddi - Tue Jun 24 21:16:07 2008 - - 2 Answers - 0 Comments
A. That would be called the antiderivative, or the indefinite integral. f(x) = (1/(.5+1))t^(.5 + 1) + c = (.666)t^(1.5) + c The constant, c, can't be determined, since the derivative of any constant is just 0. However, if you're given a specific point that you can plug in, you can find c.
Answered by ....A Tragedy.... - Tue Jun 24 21:21:09 2008
Q. if i am given the derivative of a function, how do i solve for the original function? hope this makes sense, thanks. :) for example, f'x t^1/2 how do i find fx?
Asked by ricepaddi - Tue Jun 24 21:16:07 2008 - - 2 Answers - 0 Comments
A. That would be called the antiderivative, or the indefinite integral. f(x) = (1/(.5+1))t^(.5 + 1) + c = (.666)t^(1.5) + c The constant, c, can't be determined, since the derivative of any constant is just 0. However, if you're given a specific point that you can plug in, you can find c.
Answered by ....A Tragedy.... - Tue Jun 24 21:21:09 2008
What does the partial derivative mean?
Q. I understand how to do them but im not quite sure what it means. I know that a normal derivative means "rate of change" but would the partial mean "rate of change partially"? Can you give me an example that i can use it on? I took calculus 3 and passed last semester but now in a analysis course i need a very good understanding of partial derivatives.
Asked by djwilliamt - Tue Jan 13 20:05:23 2009 - - 1 Answers - 0 Comments
Q. I understand how to do them but im not quite sure what it means. I know that a normal derivative means "rate of change" but would the partial mean "rate of change partially"? Can you give me an example that i can use it on? I took calculus 3 and passed last semester but now in a analysis course i need a very good understanding of partial derivatives.
Asked by djwilliamt - Tue Jan 13 20:05:23 2009 - - 1 Answers - 0 Comments
I need help solving find the derivative using the chain rule?
Q. I have homework involving derivatives and have been able to solve all the problems except two. They are both very similar- The first goes: Given y=u^3+2u, where u=5-x^2, find dy/dx using the chain rule I've tried and tried from all angles, but my answers are inconsistent. If anyone could provide the steps to this problem I could probably follow the logic for the second one. I hate to ask like this, but the textbook I'm using does not contain any similar examples. Thanks
Asked by kevin H - Wed Nov 4 23:36:45 2009 - - 1 Answers - 0 Comments
A. Derivation I usually substitute the value of u to the function first. y = (5 - x ) + 2(5 - x ) y = (5 - x ) + 10 - 2x Then, I apply chain and product rule to determine the differentiation. y = 3(5 - x ) (-2x) - 4x y'' = (-6x)(5 - x ) - 4x
Answered by |
Q. I have homework involving derivatives and have been able to solve all the problems except two. They are both very similar- The first goes: Given y=u^3+2u, where u=5-x^2, find dy/dx using the chain rule I've tried and tried from all angles, but my answers are inconsistent. If anyone could provide the steps to this problem I could probably follow the logic for the second one. I hate to ask like this, but the textbook I'm using does not contain any similar examples. Thanks
Asked by kevin H - Wed Nov 4 23:36:45 2009 - - 1 Answers - 0 Comments
A. Derivation I usually substitute the value of u to the function first. y = (5 - x ) + 2(5 - x ) y = (5 - x ) + 10 - 2x Then, I apply chain and product rule to determine the differentiation. y = 3(5 - x ) (-2x) - 4x y'' = (-6x)(5 - x ) - 4x
Answered by |
How do you use the definition of the derivative of a function at a point x=a?
Q. Can some one give me examples and explanations? I have to make a notes page and I cannot find this specifically in my calculus book. And if you happen to have links to helpful pages. That would be great too. I will give best answer to first one to help me and my problem :) Thank you!!
Asked by brittanytiger220 - Sun Mar 29 00:09:58 2009 - - 1 Answers - 0 Comments
A. Hi, i dont have any links but I think i can help you through one simple problem. Let us consider an example: y=x^2 and let us find the derivative at the point x=2 using the definition of a derivative: So the defn of a derivative is: F(x)= lim f(x+h) - f(x) divided by h as x approached a. With the example: F(x) = lim as x approaches 2 of (x+h)^2-x^2 over h then you expand (x+h)^2 and receive : x^2+2xh+h^2 so the equation becomes lim as x approaches 2 (x^2+2xh+h^2) - x^2 all over h which gives: lim as x approaches 2: 2xh+h^2 bla bla bla i cant be bothered
Answered by unknown - Sun Mar 29 00:21:07 2009
Q. Can some one give me examples and explanations? I have to make a notes page and I cannot find this specifically in my calculus book. And if you happen to have links to helpful pages. That would be great too. I will give best answer to first one to help me and my problem :) Thank you!!
Asked by brittanytiger220 - Sun Mar 29 00:09:58 2009 - - 1 Answers - 0 Comments
A. Hi, i dont have any links but I think i can help you through one simple problem. Let us consider an example: y=x^2 and let us find the derivative at the point x=2 using the definition of a derivative: So the defn of a derivative is: F(x)= lim f(x+h) - f(x) divided by h as x approached a. With the example: F(x) = lim as x approaches 2 of (x+h)^2-x^2 over h then you expand (x+h)^2 and receive : x^2+2xh+h^2 so the equation becomes lim as x approaches 2 (x^2+2xh+h^2) - x^2 all over h which gives: lim as x approaches 2: 2xh+h^2 bla bla bla i cant be bothered
Answered by unknown - Sun Mar 29 00:21:07 2009
what does derivative mean in context with financial stocks explain by giving an exa?
Q. what does derivative mean in context with financial stocks explain by giving an example
Asked by Deep eyes - Mon Dec 31 17:04:17 2007 - - 3 Answers - 0 Comments
A. Derivatives are contract instruments whose price is affected by the price of an underlying security. So for financial stocks, depending on where you are, its derivatives could be futures, warrants, options and convertible bonds. Let's use options as an example. Supposedly we look at a call option, for simplicity sake. Call options give the holder the right, but not obligated, to buy a certain underlying security for an agreed upon price (known as the Exercise Price or Strike Price) not later than (American style) or at a future date (European style). Thus because your purchase price is fixed for that financial stock using the call options, the call option becomes higher value when the price of the underlying stock increase. Because one… [cont.]
Answered by Strategist - Mon Dec 31 18:40:49 2007
Q. what does derivative mean in context with financial stocks explain by giving an example
Asked by Deep eyes - Mon Dec 31 17:04:17 2007 - - 3 Answers - 0 Comments
A. Derivatives are contract instruments whose price is affected by the price of an underlying security. So for financial stocks, depending on where you are, its derivatives could be futures, warrants, options and convertible bonds. Let's use options as an example. Supposedly we look at a call option, for simplicity sake. Call options give the holder the right, but not obligated, to buy a certain underlying security for an agreed upon price (known as the Exercise Price or Strike Price) not later than (American style) or at a future date (European style). Thus because your purchase price is fixed for that financial stock using the call options, the call option becomes higher value when the price of the underlying stock increase. Because one… [cont.]
Answered by Strategist - Mon Dec 31 18:40:49 2007
Could someone teach me / explain, with a simple example, how to get a derivative and how I can use it?
Q. I'm in pre-calc, I'm sure I'll learn this later, but my econ prof asked if I knew how to get a derivitive, and I didn't. It would be nice to know how to get it, and how I could use it.
Asked by joshua_m_carpenter - Fri Mar 7 22:49:59 2008 - - 1 Answers - 0 Comments
A.
Answered by VV WW XX Y - Fri Mar 7 22:56:08 2008
Q. I'm in pre-calc, I'm sure I'll learn this later, but my econ prof asked if I knew how to get a derivitive, and I didn't. It would be nice to know how to get it, and how I could use it.
Asked by joshua_m_carpenter - Fri Mar 7 22:49:59 2008 - - 1 Answers - 0 Comments
A.
Answered by VV WW XX Y - Fri Mar 7 22:56:08 2008
From Yahoo Answer Search: 'Derivative (examples)'
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Sys-Con Italia (Comunicati Stampa)
And much has been written on the drivers, causes, effects and even derivative effects. Surprisingly, there is very little discussion on the mobile ...
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hu, 21 May 2009 20:45:46 GM
just make sure that the equations are separated by a comma. Differential equations are supported as well. An nth number of apostrophes indicates an nth . derivative. , and proceed as before. For . example. to solve ...
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