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

The calculator will find the derivative of $$$\ln\left(u\right)$$$, with steps shown.

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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