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 Calculus Calculus Math Forum

 December 28th, 2014, 05:19 AM #1 Senior Member   Joined: Sep 2013 From: Earth Posts: 827 Thanks: 36 Differentiation $\displaystyle y=\frac{(2+e^{-x})^2}{e^x}$ How to differentiate? December 28th, 2014, 06:12 AM #2 Senior Member   Joined: Oct 2014 From: EU Posts: 224 Thanks: 26 Math Focus: Calculus Use the Chain rule for the numerator and the quotient rule for differentiation. December 28th, 2014, 06:24 AM #3 Math Team   Joined: Jul 2011 From: Texas Posts: 3,002 Thanks: 1587 You may use the quotient rule or rewrite the function as a product & use the product rule. In this case, my preference would be to expand the numerator, divide each term by $\displaystyle e^x$, then take the derivative. $\displaystyle \frac{(2+e^{-x})^2}{e^x}=\frac{4+4e^{-x}+e^{-2x}}{e^x}=4e^{-x}+4e^{-2x}+e^{-3x}$ Take the derivative ... $\displaystyle -4e^{-x}-8e^{-2x}-3e^{-3x}$ Tags differentiation 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 Thepiman Calculus 1 May 8th, 2014 06:11 AM Raptor Calculus 6 May 7th, 2014 11:33 AM Tooperoo Calculus 3 May 6th, 2012 11:02 PM mathhelp123 Calculus 1 October 30th, 2009 01:25 PM skdnjswnd Calculus 1 March 25th, 2009 04:19 AM

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