How do you find the derivative of #f(x)=root5(x)#? Calculus Basic Differentiation Rules Power Rule 1 Answer Anjali G Nov 23, 2016 #f(x)=root5x# #f(x)=x^(1/5)# #f'(x)=1/5x^(-4/5)# #f'(x)=1/[5x^(4/5)]# 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 1603 views around the world You can reuse this answer Creative Commons License