## nth derivative of 1/x | nth derivative of 1/(ax+b)

The nth derivative of 1/x is denoted by $\frac{d^n}{dx^n}(\frac{1}{x})$ and it is equal to (-1)nn!/xn+1. The nth derivative of 1/(ax+b) is denoted by $\frac{d^n}{dx^n}(\frac{1}{ax+b})$ and it is equal to (-1)nann!/(ax+b)n+1. So the n-th derivative formulas of 1/x and logx are given as follows: nth Derivative of 1/x Question: What is the nth derivative of 1/x? … Read more