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.