What is the derivative of (e^{4x})^2 ?

The derivative of (e^{4x})^2 is e^{8x}*8

What is the first derivative of (e^{4x})^2 ?

The first derivative of (e^{4x})^2 is e^{8x}*8

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derivative of

(e^{4 x})^{2}

e^{8 x} \cdot 8

Solution steps

\frac{d}{d x} ((e^{4 x})^{2})

Simplify

(e^{4 x})^{2} : e^{8 x}

= \frac{d}{d x} (e^{8 x})

Apply the chain rule:

e^{8 x} \frac{d}{d x} (8 x)

= e^{8 x} \frac{d}{d x} (8 x)

\frac{d}{d x} (8 x) = 8

= e^{8 x} \cdot 8

What is the derivative of (e^{4x})^2 ?
The derivative of (e^{4x})^2 is e^{8x}*8
What is the first derivative of (e^{4x})^2 ?
The first derivative of (e^{4x})^2 is e^{8x}*8