Differentiate with respect to

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 =

Differentiating u with respect to x

= = . =

= . = . =

=

For v =

Let x = tan θ

= = ) = 3θ = 3

= 3

Differentiating v with respect to x ,

= =

=

=

= =

=

Ans.