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 8695 views around the world You can reuse this answer Creative Commons License