Question

How do you find the derivative of `3/x^4`?

Answer 1

`-12/x^5`

Explanation:

Use the power rule, which states that

`d/dx(ax^n)=anx^(n-1)`

Here, the function `3/x^4` can be rewritten as `3x^-4`.

The power rule can now be simply applied:

`d/dx(3x^-4)=3(-4)x^(-4-1)=-12x^-5`

This is also equal to `-12/x^5`.