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JEE Math Practice 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,

  1. A.$$2 y^{\prime}+\sqrt{3} \pi^{2} y=0$$
  2. B.$$y^{\prime}+3 \pi^{2} y=0$$
  3. C.$$\sqrt{2} y^{\prime}-3 \pi^{2} y=0$$
  4. D.$$2 y^{\prime}+3 \pi^{2} y=0$$

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