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

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

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

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

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derivative of

ln (e^{2 x})

2

Solution steps

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

Simplify

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

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

\frac{d x}{d x} = 1

= 2 \cdot 1

Simplify

= 2

y = (x + 3)^{2}, (0, 1)

\frac{d}{d x} (cos (1 - x^{2}))

\int (\frac{1 + x + x ^{2}}{x}) d x

\int \frac{1}{a} d a

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