Calculus
Intermediate

Derivative of Natural Log

The derivative of the natural logarithm.

Formula

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

Variables

xPositive variable

Example

Slope of ln at x=1 is 1

Did You Know?

The derivative of ln x is 1/x, quietly connecting logarithms to the area under a hyperbola.

derivative