Let f(x) be a real -valued function such that f'(x0) = 0 for some x0 ∈ (0, 1), and f"(x) > 0 for all x ∈ (0, 1). Then f(x) has
1
exactly one local minimum in (0, 1)
2
two distinct local minima in (0, 1)
3
one local maximum in (0, 1)
4
no local minimum in (0, 1)