differentiate e^(2x) — step-by-step solution

Let's perform the differentiation:

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

We differentiate using:

\frac{d}{d x} (\exp (f)) = \frac{d}{d x} (f) \cdot \exp (f)

(where f =

2 x

)

ⓘ The derivative of exp(x) is exp(x):

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

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

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

ⓘ A constant factor stays in front of the derivative, (k*u)' = k*u':

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

2

▶Derivative:

2 e^{2 x}