Question

What is the second derivative of #f(x) = e^(-x^2 -3x) #?

Answer 1

`(e^(-x^2-3x))(4x^2+12x+7)`

Explanation:

`f'(x)=(-2x-3)e^(-x^2-3x)`.

`f''(x)=(-2x-3)^2*e^(-x^2-3x)-2(e^(-x^2-3x))`

`=(e^(-x^2-3x))(4x^2+12x+7)`.