Compute the derivative of log(x² log x)

by RoRi

November 1, 2015

Compute the derivative of

$f(x) = \log(x^2 \log x).$

Using the chain rule (and the product rule on $x^2 \log x$ ) we have

$\begin{align*} f'(x) &= \left( \frac{1}{x^2 \log x} \right) \left(2x \log x + \frac{x^2}{x} \right) \\ &= \frac{2}{x} + \frac{1}{x \log x} \end{align*}$

One comment

October 21, 2019 at 8:11 am

Anonymous says:

What is the derivative value of X*2logx

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Stumbling Robot

Compute the derivative of log(x² log x)

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