Question

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

Answer 1

One law of exponentials states that `a^-n=1/a^n`.

Thus, we can rewrite this as `-4x^-2`

Using the power rule, which states that for `y=a^n`, then `y'=n*a^(n-1)`,

`(dy)/(dx)=(-2)(-4x^-3)=8x^-3=8/x^3`