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If f(x)=(sin^2x-1)^("n"),"" then x=pi/2 ...

If `f(x)=(sin^2x-1)^("n"),""` then `x=pi/2` is a point of local maximum, if `n` is odd local minimum, if `n` is odd local maximum, if `n` is even local minimum, if `n` is even

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