## What is the nth Derivative of 1/x? [Solved]

The nth derivative of 1/x is equal to (-1)nn!/xn+1. This is obtained by repeatedly using the power rule of differentiation. The nth derivative of 1/x is denoted by $\dfrac{d}{dx}\left( \dfrac{1}{x}\right)$, and its formula is given as follows: $\boxed{\dfrac{d}{dx}\left( \dfrac{1}{x}\right)=\dfrac{(-1)^n n!}{x^{n+1}}}$ nth Derivative of 1/x Question: How to find nth Derivative of 1/x? Answer: To find … Read more