Given :

To prove :

Formula used : =

=

= cos x

If u and v are functions of x,then = u + v

The CHAIN RULE states that the derivative of f(g(x)) is f’(g(x)).g’(x)

y =

taking log on both sides

log y = log

log y = y log ()

Differentiating both sides with respect to x

=

= log() + y

= log() + y

= log() + y

log sinx) = y

= y