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 4382 views around the world You can reuse this answer Creative Commons License