Question

If $y=\sin \left(\ln x\right)$, then $\frac{dy}{dx}$ will be

• A. $\frac{\cos \left(\ln x\right)}{x}$
• B. $-\sin \left(\ln x\right)$
• C. $-\cos \left(\ln x\right)$
• D. $\sin \frac{\ln x}{x}$

Answer 1

The correct option is A $\frac{\cos \left(\ln x\right)}{x}$

$y=\sin \left(\ln x\right)$

Using chain rule:

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