# Derivatives of constant multiples of functions Evaluate the following derivatives. \frac{d}{dt}(\frac{3}{8}\sqrt{t})

Derivatives of constant multiples of functions Evaluate the following derivatives.
$\frac{d}{dt}\left(\frac{3}{8}\sqrt{t}\right)$
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Step 1
Given:
$\frac{d}{dt}\left(\frac{3}{8}\sqrt{t}\right)$
Step 2
$\frac{d}{dt}\left(\frac{3}{8}\sqrt{t}\right)$
Take constant out:

Apply power rule: $\frac{d}{dx}\left({x}^{n}\right)=n{x}^{n-1}$
$=\frac{3}{8}\left(\frac{1}{2}{t}^{\frac{1}{2}-1}\right)$
$=\frac{3}{16}\left({t}^{-\frac{1}{2}}\right)$

Jeffrey Jordon