If the function \( f(x)=\cos |x|-2 a x+b \) increases along the entire number scale, then (a) \(...

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If the function \( f(x)=\cos |x|-2 a x+b \) increases along the entire number scale, then
(a) \( a=b \)
(b) \( a=\frac{1}{2} b \)
(c) \( a \leq-\frac{1}{2} \)
(d) \( a-\frac{3}{2} \)
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