Let \( f(x)=2 x^{3}+a x^{2}+b x-3 \cos ^{2} x \) is an increasing function for all \( x \in R \)...

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Let \( f(x)=2 x^{3}+a x^{2}+b x-3 \cos ^{2} x \) is an increasing function for all \( x \in R \), then
(a) \( a^{2}-6 b-180 \)
(b) \( a^{2}-6 b+180 \)
(c) \( a^{2}-3 b-60 \)
(d) \( a0, b0 \)
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