Please, what is the solution

Question

At x = 0, which of the following is true of the function f defined by f(x) = x² + e^-2x ?

A. f is increasing

B. f is decreasing

C. f has a relative minimum

D. f has a relative maximum.

Answer 1

I graphed this to see that at x=0

B. f is decreasing

Answer 2

f'(x) = 2x - 2e^-2x, f'(0) = - 2 < 0. So, x = 0 belong to interval where f(x) decreasing.

Decreasing at x = 0 is incorrect quation.