What is the derivative of f(x)=ln(e^x) ?

The derivative of f(x)=ln(e^x) is 1

What is the first derivative of f(x)=ln(e^x) ?

The first derivative of f(x)=ln(e^x) is 1

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derivative of

f (x) = ln (e^{x})

1

Solution steps

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

Simplify

ln (e^{x}) : x

= \frac{d x}{d x}

Apply the common derivative:

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

= 1

\int (e^{- 2 x}) d x

\int 6 (2 x - 3)^{- 6} d x

\int \frac{1}{x ^{2} + 6 x + 13} d x

\int (\frac{1}{x}) d x

\int \frac{e ^{x}}{e ^{2 x} + 6 e ^{x} + 9} d x

What is the derivative of f(x)=ln(e^x) ?
The derivative of f(x)=ln(e^x) is 1
What is the first derivative of f(x)=ln(e^x) ?
The first derivative of f(x)=ln(e^x) is 1