Asked by Mike
Let f be a differentiable function defined on the closed interval [a,b] and let c be a point in the open interval (a,b) such that
I.f'(c)=0
II.f'(x)>0 when a≤x<c
III.f'(x)<0 when c<x<≤b
Which of the following statements must be true?
(A)f(c)=0
(B)f"(c)=0
(C)f(c) is an absolute maximum value of f on [a,b]
(D)f(c) is an absolute minimum value of f on [a,b]
(E)f(x) has a point of inflection at x=c
I.f'(c)=0
II.f'(x)>0 when a≤x<c
III.f'(x)<0 when c<x<≤b
Which of the following statements must be true?
(A)f(c)=0
(B)f"(c)=0
(C)f(c) is an absolute maximum value of f on [a,b]
(D)f(c) is an absolute minimum value of f on [a,b]
(E)f(x) has a point of inflection at x=c
Answers
Answered by
Steve
Consider the function y = -x^2
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