$\frac{d}{dx}\left(\arcsin\left(\sqrt{x}\right)\right)$
$\frac{d}{dx}\left(\sqrt[4]{x}\right)$
$\frac{d}{dx}\left(\sin^2\left(x\right)\right)$
$\frac{d}{dx}\left(x^{-3}\right)$
$\frac{d}{dx}\left(x\sqrt{x^2-1}\right)$
$\frac{d}{dx}\left(x^{\frac{3}{4}}\right)$
$\frac{d}{dx}\ln\left(x^2\right)$
The power rule is used to differentiate functions of the form f(x)=x^a, when a is a real number.
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