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