Question

Is `f(x)=-e^(x^2+2)` increasing or decreasing at `x=0`?

Answer 1

Find the first derivative, then evaluate at `x=0`

Explanation:

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

`f'(0)=0`

So, at `x=0`, there is a critical point where the function is neither increasing nor decreasing

hope that helped