How do you find the derivative of the function #f(x)=x^3-3x+5#? Calculus Basic Differentiation Rules Power Rule 1 Answer Narad T. Dec 7, 2016 The answer is #f'(x)=3x^2-3# Explanation: We use #(x^n)'=nx^(n-1)# #f(x)=x^3-3x+5# #(x^3)'=3x^2# #(3x)'=3# #(5)'=0# so, #f'(x)=3x^2-3# 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 7844 views around the world You can reuse this answer Creative Commons License