Question #d53de Calculus Basic Differentiation Rules Power Rule 1 Answer Anjali G Mar 28, 2017 Use the power rule to differentiate: #f(x)=x^color(green)(2/3)# #f'(x)=color(green)((2/3))*(x)^(-1/3)# Simplified: #f'(x)=frac{2}{3x^(1/3)}# 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 1929 views around the world You can reuse this answer Creative Commons License