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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{…

Q1

Let

\[ y=f(x)=\sin ^{3}\left(\frac{\pi}{3}\left(\cos \left(\frac{\pi}{3 \sqrt{2}}\left(-4 x^{3}+5 x^{2}+1\right)^{\frac{3}{2}}\right)\right)\right) \text {. } \]

Then, at \( x=1 \),

a

\( 2 y^{\prime}+\sqrt{3} \pi^{2} y=0 \)

b

\( 2 y^{\prime}+3 \pi^{2} y=0 \)

c

\( \sqrt{2} y^{\prime}-3 \pi^{2} y=0 \)

d

\( y^{\prime}+3 \pi^{2} y=0 \)

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