Let \( f(x)=\sin x, g(x)=x^{2} \) and \( h(x)=\log x \). If \( F(x)=h(f(g(x))) \), then \( F^{\p...

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Let \( f(x)=\sin x, g(x)=x^{2} \) and \( h(x)=\log x \). If \( F(x)=h(f(g(x))) \), then \( F^{\prime}(x) \) is
(a) \( 2 x \cot x^{2} \)
(b) \( 2 \operatorname{cosec}^{3} x \)
(c) \( -2 \operatorname{cosec}^{2} x \)
(d) None of these
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