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 1921 views around the world You can reuse this answer Creative Commons License