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

The calculator will find the derivative of

\ln\left(x\right)

, with steps shown.

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

Your Input

Find $\frac{d}{dx} \left(\ln\left(x\right)\right)$ .

Solution

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

{\color{red}\left(\frac{d}{dx} \left(\ln\left(x\right)\right)\right)} = {\color{red}\left(\frac{1}{x}\right)}

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

Answer

$\frac{d}{dx} \left(\ln\left(x\right)\right) = \frac{1}{x}$ A