The derivative of the natural log, $\ln(x)$ is To view these problems and their complete solutions, you must be logged in.### Log In

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Derivative of ln(x)

\[\bbox[yellow,5px]{\dfrac{d}{dx}\ln x = \dfrac{1}{x} }\]

Applying the Chain rule, we have

\[\dfrac{d}{dx}\ln(\text{stuff}) = \dfrac{1}{(\text{stuff})} \cdot \dfrac{d}{dx} (\text{stuff}) \]

You’ll usually see this written as

\[\dfrac{d}{dx}\ln u = \dfrac{1}{u} \cdot \dfrac{du}{dx} \]

Practice problems are of course below!