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Let d/(dx)(f(x))=((sin^(12)x-cos^(12)x)...

Let `d/(dx)(f(x))=((sin^(12)x-cos^(12)x)/((sin^2x-cos^2x)(1-3sin^2xcos^2x)))` be such that `f(0)=0` then `f(pi/2)` equals `(kpi)/16`. Find the value of `k(k in N)`.

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