How do you find the derivative of #y=f(x)+g(x)#? Calculus Basic Differentiation Rules Sum Rule 1 Answer Wataru Sep 17, 2014 By Sum Rule, #y'=f'(x)+g'(x)# For example, if #y=x^3+e^x#, then #y'=(x^3)'+(e^x)'=3x^2+e^x# Answer link Related questions What is the Sum Rule for derivatives? How do you find the derivative of #y = f(x) - g(x)#? What is the derivative of #f(x) = xlnx-lnx^x#? How do you differentiate #f(x)=1/x+1/x^3# using the sum rule? How do you differentiate #f(x)=x+x-2x# using the sum rule? How do you differentiate #f(x)=x^2-x-x(x-1)# using the sum rule? How do you differentiate #f(x)=x^3-x^2+4x-1# using the sum rule? How do you differentiate #f(x)=sinx+cosx-x^3# using the sum rule? How do you differentiate #f(x)=x+lnx^2-x^2# using the sum rule? How do you differentiate #f(x)=1/sinx-secx+tanx# using the sum rule? See all questions in Sum Rule Impact of this question 8160 views around the world You can reuse this answer Creative Commons License