what is the derivative of f(x)=(x^2+1)e^-x

Question

I need to find the First derivative then factor it. I ran into problems trying to factor.

Answer 1

Using the product rule: f'=2xe^-x-(x^2+1)e^-x=-e^-x(x^2-2x+1)=-(e^-x)(x-1)^2.

Answer 2

(X^2 +1)e^-x we use product rule ,,,,,,,let u=x^2 +1 ,,,,,v=e^-x ,,,,U'=2x ,,,and v'=-e^-x .....

so we use ;(u'v+uv'),,I.e

2x.e^-x +x^2+1 .-e^-x=2xe^-x+(-e^-x.x^2 +-e^-x)