Question

How do you find the derivative of `pi^(x+2)` using the chain rule?

Answer 1

Derivative is `pi^(x+2)lnpi`

Explanation:

Let `y=pi^(x+2)`, then

`lny=(x+2)lnpi`

Now taking derivative on both sides we get

`1/y(dy)/(dx)=lnpi`

and hence `(dy)/(dx)=lnpi*y=pi^(x+2)lnpi`