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Math Help - Derivative

  1. #1
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    Derivative

    What is the derivative of the following function ?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by totalnewbie
    What is the derivative of the following function ?
    Use the chain rule:

    If:

    <br />
y=f(g(x))<br />

    then:

    <br />
\frac{dy}{dx}=f'(g(x))\ g'(x)<br />

    In this case f(u)=\ln(u) and g(u)=u^2+1, so:

    <br />
\frac{d}{dx}\ \ln(x^2+1) = \frac{1}{x^2+1}\ 2x=\frac{2x}{x^2+1}<br />

    RonL
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