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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 Tags derivatives, exponential, functions, log, review Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post li1995717 Calculus 2 October 24th, 2013 02:19 AM pomazebog Calculus 2 March 5th, 2012 08:23 AM ProJO Calculus 4 March 13th, 2011 06:49 PM lilxswttooth Calculus 1 September 21st, 2009 04:50 AM ClipsClips99 Calculus 2 May 21st, 2007 01:57 PM

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