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March 5th, 2012, 01:16 AM   #1
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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!
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March 5th, 2012, 03:22 AM   #2
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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.
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March 5th, 2012, 08:23 AM   #3
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Re: derivatives of exponential functions

Nvm, I worked it out and solved the problem!!
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