Question

If y=ln⁡x ,then $\frac{dy}{dx}$ will be

• A. $x$
• B. $\ln x$
• C. $\frac{1}{x}$
• D. $-\frac{1}{x^2}$

Answer 1

Answer: (C)

Step 1: Given that:

$y=\ln x$

Step 2: finding the value of $\frac{dy}{dx}$ :

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

$=\frac{1}{x}$

Thus,

The value of $\frac{dy}{dx}$ is $\frac{1}{x}$