Let y = f(x) = sin³ ( π/3 cos ( π/3√2 ( -4x³ + 5x² + 1)^(3/2))) T… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 31 January, Shift 1Applications of Derivatives (Monotonicity, Extrema)

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

A
$2y' + 3y = 0$
B
$2y' + 3\pi^2 y = 0$
C
$y' - 3y' = 0$
D
$y' + 3y' = 0$

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