Differentiate with respect to when

Given : Let u = and v =

To differentiate : with respect to

Formula used : n.

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

Let u = and v =

_{Substitute x = cosθ in u}

u = = =

u = = =

u = =

Differentiating u with respect to x

=

Substitute x = sinθ in v ,

v = = =

v = = =

v = = =

v = =

v =

Differentiating v with respect to x

=

=

= =

Ans.