\[\frac{d}{dx} {e}^{x}\cos{x}\]

Choose Topic

Examples

Use Product Rule to find the derivative of

{e}^{x}\cos{x}

. The product rule states that

(fg)'=f'g+fg'

(\frac{d}{dx} {e}^{x})\cos{x}+{e}^{x}(\frac{d}{dx} \cos{x})

The derivative of

{e}^{x}

{e}^{x}

{e}^{x}\cos{x}+{e}^{x}(\frac{d}{dx} \cos{x})

Use Trigonometric Differentiation: the derivative of

\cos{x}

-\sin{x}

{e}^{x}\cos{x}-{e}^{x}\sin{x}

Done

Like this solution? Share it!