Derivative of x^-1 | What is the derivative of 1/x

We wish everyone a good day. In this article, we will tell you step by step what is the derivative of 1/x.

One of the most common question patterns about derivatives is the derivative of 1/x. It actually seems difficult, but when we do 1/x = x^-1, we can easily take the derivative. Now let's move on to the solution.

What is the 1/x Derivative?

First, we convert 1/x to $\frac{1}{x} = x^{-1}$

So $\frac{1}{x} = x^{-1}$

Now we can go solution step by step:

→ $\frac{1}{x} = x^{-1}$

→ $(x^{-1})’ = -1.x^{-2}$

→ So 1/x derivate = $-x^{-2}$ = $-\frac{1}{x^2}$

So the derivative of 1 over x is $-\frac{1}{x^2}$

Thanks.

Derivative of 1/x = $-\frac{1}{x^2}$