Question

What is the derivative of `-4/x^2`?

Answer 1

`8/x^3`

Explanation:

A standard rule states that `d/dxax^n=nax^(n-1)`.

So we rewrite the given function in polynomial form using the laws of exponents, then apply this rule to obtain.

`d/dx(-4/x^2)=d/dx(-4x^(-2))`

`=8x^(-3)`

`=8/x^3`