How do you find the derivative of f(x)=3x^2-5x? Calculus Basic Differentiation Rules Power Rule 1 Answer sjc Nov 24, 2016 f'(x)=6x-5 Explanation: for polynomial differentiation f(x)=ax^n=>f'(x)=nax^(n-1) f(x)=3x^2-5x =>f'(x)=2xx3x^(2-1)-1xx5x^(1-1) f(x)=6x^1-5x^0 f'(x)=6x-5 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 7891 views around the world You can reuse this answer Creative Commons License