If , prove that
Given :
To prove :
Formula used : =
=
= - sinx
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)
Given that 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
)
= - y