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.