How do you find the derivative of f(x)=1/2x+2/3f(x)=12x+23? Calculus Basic Differentiation Rules Power Rule 1 Answer Steve M Aug 21, 2017 f'(x)=1/2 Explanation: We use the power rule: d/dx(x^n) = nx^(n-1) And so with: f(x)=1/2x+2/3 we have: f'(x)=1/2 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 1531 views around the world You can reuse this answer Creative Commons License