How do you find the derivative of #2x^2+x-1#? Calculus Basic Differentiation Rules Power Rule 1 Answer David L. Apr 13, 2017 #dy/dx(2x^2+x-1)=4x+1# Explanation: Use the power rule #r(a)^(r-1)# and recall that the derivative of a constant is #0# Therefore the derivative is, #dy/dx=2*2x^(2-1)+1x^(1-0)-0# #dy/dx=4x+1# 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 1677 views around the world You can reuse this answer Creative Commons License