Derivative

**totalnewbie** · April 11th 2006, 11:53 AM

What is the derivative of the following function ?

**CaptainBlack** · April 11th 2006, 01:11 PM

Originally Posted by totalnewbie

What is the derivative of the following function ?

Use the chain rule:

If:

$ y=f(g(x)) $

then:

$ \frac{dy}{dx}=f'(g(x))\ g'(x) $

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

$ \frac{d}{dx}\ \ln(x^2+1) = \frac{1}{x^2+1}\ 2x=\frac{2x}{x^2+1} $

RonL

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