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The value of a for which the function f(...

The value of `a` for which the function `f(x)=(4a-3)(x+log5)+2(a-7)cot(x/2)sin^2(x/2)` does not possess critical points is
(a)`(-oo,-4/3)` (b) `(-oo,-1)` (c)`[1,oo)` (d) `(2,oo)`

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