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March 2nd, 2011, 06:26 PM  #1 
Senior Member Joined: Feb 2011 Posts: 118 Thanks: 0  Derivatives of exponential and log functions review help!
Hi, I've got a few questions that I need help on. 1) Find the derivative of the following function: f(x)= (880/q)+4300*(e^((3q+6)/(830))/q) 2) Find y' if y=(9x+10)^4x+6 (I know it's got to do with taking the natural logarithm of both sides, but I don't know how to actually do show it.) ln y= ln________________ b) Simplify by using properties of logarithms: ln y=________________ c) Differentiate both sides with respect to x: y'/y=__________________ d) Solve for y': y'=y*(__________________________) e) Substitute the original expression y to get y' in terms of x only: y'=____________________. I would appreciate some solutions to the following problems, Thank you. 
March 2nd, 2011, 07:35 PM  #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 and log functions review help
1.) I would write f(q) as: Now, using the product rule, chain rule, and power rule, we have: Simplify: Factor: 2.) 
March 3rd, 2011, 10:59 AM  #3 
Senior Member Joined: Feb 2011 Posts: 118 Thanks: 0  Re: Derivatives of exponential and log functions review help
One more question for part 1. If i were to find the marginal cost of the derivative of the function. What would the answer be if q=103??

March 5th, 2011, 06:23 PM  #4 
Newbie Joined: Feb 2011 Posts: 21 Thanks: 0  Re: Derivatives of exponential and log functions review help
The TA was wrong, if u wanna solve the first one u have to divide the average marginal cost formula by q then take the derivative. I tried his way but it doesnt work.

March 6th, 2011, 09:49 AM  #5 
Newbie Joined: Feb 2011 Posts: 21 Thanks: 0  Re: Derivatives of exponential and log functions review help
sorry i mean times q


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