Calculus
Intermediate

Derivative of ln x

Derivative of the natural logarithm.

Formula

ddxln⁡x=1x\frac{d}{dx}\ln x = \frac{1}{x}

Variables

xPositive variable

Example

The slope of ln x at x = 2 is 1/2.

Did You Know?

The derivative of ln x is 1/x, which is why the natural log appears whenever you integrate 1/x.

derivativelogarithm