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Math Help - find the derivative of function f(x)

  1. #1
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    find the derivative of function f(x)

    f(x)=(e^(squar root of x))*ln( (squar root of x ) +5 )
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    Quote Originally Posted by shannon1111 View Post
    f(x)=(e^(squar root of x))*ln( (squar root of x ) +5 )
    So here we are going to need a combination of the product rule and the chain rule. i.e the derivative of the first times the 2nd plut the 1st times the derivative of the 2nd.

    f'(x)=\left( \frac{1}{2\sqrt{x}}\right) e^{\sqrt{x}}\ln(\sqrt{x}+5)+e^{\sqrt{x}}\left( \frac{1}{\sqrt{x}+5}\right) \left(\frac{1}{2\sqrt{x}}\right)

    It just needs to be simplified from here
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