MATH SOLVE

4 months ago

Q:
# at x=0, which of the following is true of the function f defined by f(x) = x^2 + e^-2?a) f is increasing b) f is decreasing c) f is discontinuous d) f has a relative minimum e) f has a relative maximum

Accepted Solution

A:

f'(x) = 2x = 0 , x = 0 - so there is a turning point at x = 0

f"(x) = 2

so there is a relative minimum at x = 0

f"(x) = 2

so there is a relative minimum at x = 0