Given : Let u = and v = cos x

To differentiate : with respect to cos x

Formula used :

= - sinx

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

Let u = and v = cos x

Differentiating u with respect to x

= = .

Differentiating v with respect to x

=

=

=

= .

Ans.