Question

If y=log(sinx),then dy/dx is_______​

Answer 1

y=㏒(sin x)

Using chain rule:-

$\frac{dy}{dx} =\frac{1}{sinx}$ x $cosx$ = $cotx$

Answer 2

Answer:

$\frac{dy}{dx} = \frac{d}{dx} log \sin(x) \\ = \frac{1}{ \sin(x) } \times \cos(x) \\ = \frac{ \cos(x) }{ \sin(x) } \\ = \cot(x)$