If \( x=\cos \theta, y=\sin ^{3} \theta \), then \( \left(\frac{d y...

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If \( x=\cos \theta, y=\sin ^{3} \theta \), then \( \left(\frac{d y}{d x}\right)^{2}+y \frac{d^{2} y}{d x^{2}} \) at \( \theta=\pi / 4 \) is
(a) 1
(b) 2
(c) \( -2 \)
(d) \( 9 / 4 \)
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