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March 26, 2017

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Find the derivative of:
y= 5^x + 15/x^6

I'm assuming I need to take the natural log of each side, but I get stuck after that part.

  • Calculus - ,

    I would split it into two problems and add the result.

    y = 5^x
    ln y = x ln 5
    y'/y = ln 5
    y' = y ln 5
    y' = 5^x ln 5
    then
    y = 15 x^-6
    y' = 15(-6) x^-7
    y' = -90/x^7
    so finally
    y' = 5^x ln 5 - 90/x^7

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