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

Related Maths GCSE answers

All answers ▸

A graph is sketched with the equation x^2+4x-5. Find the minimum point of this graph.


Solve the simultaneous equations y = 2x-3 and x^2 +y^2 = 2


f:x-->2x^2+1 and g:x--> 2x/(x-1) where x is not equal to 1. express the composite function gf as simply as possible


Rearrange v = u + at to make t the subject of the formula