Differentiate (x^2)*(e^x) using product rule

Product rule: d/dx[f(x)g(x)]= f(x)d/dx[g(x)] + g(x)d/dx[f(x)]Let f(x)=x^2 and g(x)=e^xf'(x) = 2x and g'(x) = e^x Therefore,The derivative of (x^2)(e^x) = 2x(e^x) +(x^2)(e^x)

JB
Answered by John B. Maths tutor

2959 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve these simultaneous equations: 2x + y = 7, and 3x - y = 8. Do so by 1) Eliminating an Unknown and 2) Substitution.


Solve the simultaneous equation: 2x + y = 5, 3x + 4y = 10


Expand and simplify 3(m + 4) – 2(4m + 1)


Solve the following simultaneous equations: 4x+y=10 and 2x-3y=19


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning