Compute the derivative of log((4-x²)^1/2)

by RoRi

November 1, 2015

Compute the derivative of

$f(x) = \log \sqrt{4-x^2}.$

Using the chain rule we have,

$\begin{align*} f'(x) &= \left( \frac{1}{\sqrt{4-x^2}} \right) \left(\frac{1}{2\sqrt{4-x^2}} \right)(-2x) \\ &= \frac{-x}{4-x^2} \\ &= \frac{x}{x^2-4}. \end{align*}$

Stumbling Robot

Compute the derivative of log((4-x²)^1/2)

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