Maxima and MinimaMedium

Question

If f(x) = (sin2 x -1)n (2 + cos2 x) n∈N then x = is a point of :

Options

A.Local maximum, if n is odd
B.Local minimum, if n is odd
C.Local maximum, if n is even
D.Local minimum, if n is even

Solution

If the sign of f′(x) changes from - ve to + ve at
x = , then x = is a point of minima.

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