What is the derivative of (e^x)^4 ?

The derivative of (e^x)^4 is e^{4x}*4

What is the first derivative of (e^x)^4 ?

The first derivative of (e^x)^4 is e^{4x}*4

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derivative of

(e^{x})^{4}

e^{4 x} \cdot 4

Solution steps

\frac{d}{d x} ((e^{x})^{4})

Simplify

(e^{x})^{4} : e^{4 x}

= \frac{d}{d x} (e^{4 x})

Apply the chain rule:

e^{4 x} \frac{d}{d x} (4 x)

= e^{4 x} \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= e^{4 x} \cdot 4

What is the derivative of (e^x)^4 ?
The derivative of (e^x)^4 is e^{4x}*4
What is the first derivative of (e^x)^4 ?
The first derivative of (e^x)^4 is e^{4x}*4