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Let f : R → R be a differentiable function such that f (a) = 0 = f (b) and f ′(a) f ′(b) > 0 for some a < b.

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Let f : R → R be a differentiable function such that f (a) = 0 = f (b) and f ′(a) f ′(b) > 0 for some a < b. Then the minimum number of roots of f ′(x = 0 in the interval (a, b) is- 

(A) 3 

(B) 2 

(C) 1 

(D) 0 

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Correct Option :-  (B)

Explanation :-

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