Question

What is the derivative of $\log \left(x\right)$?

Answer 1

Find the derivative of $\log \left(x\right)$.

Let, $y=\log \left(x\right)$

Differentiate both sides w.r.t $x$

$$\begin{gathered} \frac{dy}{dx}=\frac{d}{dx}\log \left(x\right) \\ =\frac{1}{x}\left[\because \frac{d}{dx}\log \left(x\right)=\frac{1}{x}\right] \end{gathered}$$

Therefore, the derivative of $\log \left(x\right)$ is $\frac{1}{x}$.