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Question

Let $y=f(x)=\sin ^{3}\left(\frac{\pi}{3}\left(\cos \left(\frac{\pi}{3 \sqrt{2}}\left(-4 x^{3}+5 x^{2}+1\right)^{\frac{3}{2}}\right)\right)\right)$. Then, at x = 1,

$2 y^{\prime}+\sqrt{3} \pi^{2} y=0$
$y^{\prime}+3 \pi^{2} y=0$
$\sqrt{2} y^{\prime}-3 \pi^{2} y=0$
$2 y^{\prime}+3 \pi^{2} y=0$

Solution

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