Question

find the deriviate of sin(log) w.r.t x​

Answer 1

Step-by-step explanation:

We have,

$y = \sin( log(x) )$

Differentiating both sides w.r.t x, we have,

$\frac{dy}{dx} = \cos( log(x) ) \times \frac{d}{dx} ( log(x) )$

$\implies \frac{dy}{dx} = \cos( log(x) ) \times \frac{1}{x}$

$\implies \frac{dy}{dx} = \frac{ \cos( log(x) ) }{x}$