How do you find the derivative of #f(x)=2/3x^3-x^2-24x-4#? Calculus Basic Differentiation Rules Power Rule 1 Answer Noah G Jul 24, 2016 By the power rule: #f'(x) =3 xx 2/3x^(3 - 1) - 1 xx 2x^(2 - 1) - 1 xx 24x^(1 - 1) - 0 xx 4x^(0 - 1)# #f'(x) = 2x^2 - 2x - 2# Hopefully this helps! 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 1358 views around the world You can reuse this answer Creative Commons License