Differentiate The Function G(x)=In(xe^-2x) | Wyzant Ask An Expert

Subject ZIP Search Search Find an Online Tutor Now Ask Ask a Question For Free Login Calculus differentiate the function g(x)=In(xe^-2x) Please help me Follow • 3 Add comment More Report

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Best Newest Oldest By: Best Newest Oldest The derivative will be easier to compute if we first simplify the function: g(x) = ln(xe-2x) = lnx + ln(e-2x) = lnx -2x So, g'(x) = 1/x - 2 Upvote • 1 Downvote Add comment More Report You can also use the product rule and chain rule to find the derivative. g'(x) = [e-2x - 2xe-2x] / xe-2x g'(x) = (1 / x) - 2 Upvote • 0 Downvote Add comment More Report

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