Question

What is the derivative of `1/x`?

Answer 1

`-1/x^2`

Explanation:

This function can be rewritten as `x^-1`.

Now, use the power rule, which states that `d/dx[x^n]=nx^(n-1)`.

Thus,

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