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Thread: Here's another one

  1. #1
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    Here's another one

    find d/dx e^x ln x
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by kdstalnaker
    find d/dx e^x ln x
    Product rule:

    $\displaystyle \frac{d}{dx} \{ f(x)g(x) \} = \frac{df}{dx}g(x)+f(x)\frac{dg}{dx}$

    So here we let $\displaystyle f(x)=e^x$ and $\displaystyle g(x)=\ln(x)$, and
    from here I'm sure you can complete the answer.

    RonL
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  3. #3
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    $\displaystyle e^x\ln x+\frac{1}{x}e^x=e^x(\ln x+\frac{1}{x})$
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