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

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

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

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

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derivative of

(e^{x})^{2}

e^{2 x} \cdot 2

Solution steps

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

Simplify

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x) = 2

= e^{2 x} \cdot 2

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