How do you find the derivative of abs(x-1)? Calculus Basic Differentiation Rules Power Rule 1 Answer Roy E. Dec 9, 2016 -1 for x<1, +1 for x>1 and undefined at x=1 as the two one-sided limits of x+h as h to 0 are different depending on whether h>0 or h<0. 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 5093 views around the world You can reuse this answer Creative Commons License