If c is a critical number on a continuous function f(x) then from the First Derivative Test we know each of the following except:
A. If f'(x) is positive on one side and negative on the other side at c, then fx) has no local maximum or minimum at c
B. If f(x) changes from negative to positive at c, then f(x) has a local minimum at c
C. If fx) is positive on both sides at c, then fix) has no local maximum or minimum at c
D. If f(x) is negative on both sides at c, then f(x) has no local maximum or minimum at c
D. If f(x) changes from positive to negative at c, then f(x) has a local maximum at c