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March 5th, 2012, 01:16 AM  #1 
Senior Member Joined: Jan 2012 Posts: 100 Thanks: 0  derivatives of exponential functions
Hey I have been working on my assignment and I cannot get the correct answer: the question is: The average cost of producing q units of a product is given by What is the marginal cost if q=98 my keyboard is a little mesed up. it should be e^2q+6/880 The answer i get is 12.8400...but it is incorrect... I tried getting rid of the q by multiplying. Please help! 
March 5th, 2012, 03:22 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: derivatives of exponential functions Multiplying through by q will also work: Implicitly differentiate with respect to q: So now we let q = 98: I suspect you did not properly express the exponent of e with bracketing symbols, i.e., e^((2q+6)/880) = e^((q+3)/440). I cannot stress enough how important it is to express the problem in such a manner that guessing what is meant is not necessary. However, you should now have a better idea of how to work this problem. 
March 5th, 2012, 08:23 AM  #3 
Senior Member Joined: Jan 2012 Posts: 100 Thanks: 0  Re: derivatives of exponential functions
Nvm, I worked it out and solved the problem!!


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