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 7824 views around the world You can reuse this answer Creative Commons License