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-

Maxima and MinimaMedium

Question

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

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

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