If f′(c) = f′(c) = ..... = fn-1(c) = 0, fn(c) ≠ 0 and n is even, then-

Maxima and MinimaHard

Question

If f′(c) = f′(c) = ..... = f^n-1(c) = 0, fⁿ(c) ≠ 0 and n is even, then-

A.f(c) is neither a maximum nor a minimum values of f(x)

B.f(c) is a maximum value of f(x) if fⁿ(c) < 0

C.f(c) is minimum value of f(x) if fⁿ(c) < 0

D.f(c) is a maximum value of f(x) is fⁿ(c) > 0

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