Question #5faed Calculus Basic Differentiation Rules Power Rule 1 Answer Narad T. Oct 15, 2016 #dy/dx=3x^2-4x# Explanation: Use #if y=x^n # then #dy/dx=nx^(n-1)# #y=x^3-2x^2+6# #dy/dx=d(x^3)/dx-2d(x^2)/dx+d6/dx# #dy/dx=3x^2-4x# 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 1164 views around the world You can reuse this answer Creative Commons License