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The function f(x)=(4sin^2x−1)^n (x^2−x+...

The function `f(x)=(4sin^2x−1)^n (x^2−x+1),n in N`, has a local minimum at `x=pi/6` . Then (a) n is any even number (b) n is an odd number (c) n is odd prime number (d) n is any natural number

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