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