Maxima and MinimaHard

Question

If for a function f(x), f′(a) = 0 = f″(a) = ... = fn-1(a) but fn(a) ≠ 0 then at x = a, f(x) is minimum if-

Options

A.n is even and fn(a) > 0
B.n is odd and fn(a) > 0
C.n is even and fn(a) < 0
D.n is odd and fn(a) < 0

Solution

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