Question

What is the derivative of `4/x`?

Answer 1

`-4/x^2`

Explanation:

Use the rule that `d/dx[x^n]=nx^(n-1)`.

Also, recall that `4/x=4x^-1`.

Thus, `d/dx[4x^-1]=(4)(-1)x^(-1-1)=-4x^-2=color(blue)(-4/x^2`