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Antimeio

Answered question

2022-12-08

What is the derivative of

e^{2 x}

Kyan Chapman

Beginner2022-12-09Added 3 answers

Derivative formula:

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

Chain rule:

\frac{d}{d x} (f (g (x))) = f' (g (x)) \cdot g' (x)

The derivative of

e^{2 x}

is,
Differentiate

e^{2 x}

with respect to

x

, using the chain rule

\frac{d}{d x} (e^{2 x}) = \frac{d (e^{2 x})}{d (2 x)} . \frac{d (2 x)}{d x} [U \sin g c h a i n r u l e]

\Rightarrow

\frac{d}{d x} e^{2 x} = e^{2 x} \cdot 2

\Rightarrow

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

Therefore, the derivative of

e^{2 x}

2 e^{2 x}

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