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Differentiation question

2023 · 31 Jan · Shift 1 · Q39

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JEE Main
Mathematics
Differentiation
2023 · 31 Jan · Shift 1 · Q39

Differentiation question

2023 · 31 Jan · Shift 1 · Q39

JEE MainMathematicsDifferentiationMCQ+4 / −1

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,

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

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