# What is the derivative of 1/x?

Jan 9, 2016

$- \frac{1}{x} ^ 2$

#### Explanation:

This function can be rewritten as ${x}^{-} 1$.

Now, use the power rule, which states that $\frac{d}{\mathrm{dx}} \left[{x}^{n}\right] = n {x}^{n - 1}$.

Thus,

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