What is the derivative of #sqrt(x^3)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Alan N. Aug 29, 2016 #3/2sqrtx# Explanation: #f(x) =sqrt(x^3) = x^(3/2)# #f'(x) = 3/2x^(3/2-1) = 3/2x^(1/2)# (Power rule) #= 3/2sqrtx# Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of #y= 6cos(x^2)# ? How do you find the derivative of #y=6 cos(x^3+3)# ? How do you find the derivative of #y=e^(x^2)# ? How do you find the derivative of #y=ln(sin(x))# ? How do you find the derivative of #y=ln(e^x+3)# ? How do you find the derivative of #y=tan(5x)# ? How do you find the derivative of #y= (4x-x^2)^10# ? How do you find the derivative of #y= (x^2+3x+5)^(1/4)# ? How do you find the derivative of #y= ((1+x)/(1-x))^3# ? See all questions in Chain Rule Impact of this question 23623 views around the world You can reuse this answer Creative Commons License