\[\frac{d}{dx} {x}^{4}\tan{x}\]

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Examples

Use Product Rule to find the derivative of

{x}^{4}\tan{x}

. The product rule states that

(fg)'=f'g+fg'

(\frac{d}{dx} {x}^{4})\tan{x}+{x}^{4}(\frac{d}{dx} \tan{x})

Use Power Rule:

\frac{d}{dx} {x}^{n}=n{x}^{n-1}

4{x}^{3}\tan{x}+{x}^{4}(\frac{d}{dx} \tan{x})

Use Trigonometric Differentiation: the derivative of

\tan{x}

\sec^{2}x

4{x}^{3}\tan{x}+{x}^{4}\sec^{2}x

Done

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