The value of \( a \) for which the function \( f(x)=(4 a-3)(x+\log \) 5) \( +2(a-7) \cot \frac{x... VIDEO
The value of \( a \) for which the function \( f(x)=(4 a-3)(x+\log \) 5) \( +2(a-7) \cot \frac{x}{2} \sin ^{2} \frac{x}{2} \) does not possess critical points is
(a) \( \left(-\infty,-\frac{4}{3}\right) \cup(2, \infty) \)
(b) \( (-\infty,-1) \)
(c) \( [-1, \infty) \)
(d) \( [-2, \infty) \)
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