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 24890 views around the world You can reuse this answer Creative Commons License