What is the derivative of #1/x#? Calculus Basic Differentiation Rules Power Rule 1 Answer Abhinav T. Sep 15, 2015 #-1/(x^2)# Explanation: #d/dx (x^n) = nx^(n-1)# Therefore, #d/dx (x^(-1)) = (-1)*x^-2 = -1/x^2# Answer link Related questions How do you find the derivative of a polynomial? How do you find the derivative of #y =1/sqrt(x)#? How do you find the derivative of #y =4/sqrt(x)#? How do you find the derivative of #y =sqrt(2x)#? How do you find the derivative of #y =sqrt(3x)#? How do you find the derivative of #y =sqrt(x)#? How do you find the derivative of #y =sqrt(x)# using the definition of derivative? How do you find the derivative of #y =sqrt(3x+1)#? How do you find the derivative of #y =sqrt(9-x)#? How do you find the derivative of #y =sqrt(x-1)#? See all questions in Power Rule Impact of this question 2166 views around the world You can reuse this answer Creative Commons License