Differentiate with respect to

Given : Let u = x⁶ and v =

To differentiate : x⁶ 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 = x⁶ and v =

Differentiating u with respect to x

= 6x⁵

Differentiating v with respect to x

=

=

=

= -12

= -12

Ans.