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 2262 views around the world You can reuse this answer Creative Commons License