Question

Question #ddfb7

Answer 1

`f(x)=x^2e^(-x)`

Use the product rule to differentiate:
`f'(x)=(x^2)(-e^(-x))+(2x)(e^(-x))`

Simplify by factoring:
`f'(x)=e^(-x)(-x^2+2x)`

`f'(x)=-(e^(-x))(x)(x-2)`