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)=x23 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 2078 views around the world You can reuse this answer Creative Commons License