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f'(x)=3*3cos²x*(-sinx)+9sinx+7/2-2*7/4cos2x-4sinx =
-9sinx(cos²x-1)+7/2-7/2(1-2sin²x) - 4sinx =
-9sinx*(-sin²x)+7/2-7/2+7sin²x - 4sinx =
9sin³x+7sin²x-4sinx