Question

What is the derivative of `(sqrt 6)/x^5` using the Power Rule?

Answer 1

First write it as a power:

`f(x)=x^(-5)sqrt(6)`

now derive as `x^n` giving `nx^(n-1)`

to get: `f'(x)=-5x^(-6)sqrt(6)=-5sqrt(6)/x^6`

where `sqrt(6)` is a constant.