What is the derivative of #x^(3/2)#? Calculus Basic Differentiation Rules Power Rule 1 Answer Sasha P. Oct 16, 2015 #(3sqrtx)/2# Explanation: #f'(x)=3/2x^(3/2-1)=3/2x^(1/2)=(3sqrtx)/2# 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 1700 views around the world You can reuse this answer Creative Commons License