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Derivative of $\ln\left(u\right)$

The calculator will find the derivative of

\ln\left(u\right)

, with steps shown.

Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps

Your Input

Find $\frac{d}{du} \left(\ln\left(u\right)\right)$ .

Solution

The derivative of the natural logarithm is $\frac{d}{du} \left(\ln\left(u\right)\right) = \frac{1}{u}$ :

{\color{red}\left(\frac{d}{du} \left(\ln\left(u\right)\right)\right)} = {\color{red}\left(\frac{1}{u}\right)}

Thus, $\frac{d}{du} \left(\ln\left(u\right)\right) = \frac{1}{u}$ .

Answer

$\frac{d}{du} \left(\ln\left(u\right)\right) = \frac{1}{u}$ A