What is the derivative of #x^(1/3)#? Calculus Basic Differentiation Rules Power Rule 1 Answer Michael Aug 31, 2015 #d((x^(1/3)))/dx=1/3x^(-2/3)# Explanation: You multiply #x# by its index then reduce the index by 1 #rarr# #d((x^(1/3)))/dx=1/3x^(-2/3)# 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 18936 views around the world You can reuse this answer Creative Commons License