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Differentiation question

2024 · 9 Apr · Shift 2 · Q38

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JEE Main
Mathematics
Differentiation
2024 · 9 Apr · Shift 2 · Q38

Differentiation question

2024 · 9 Apr · Shift 2 · Q38

JEE MainMathematicsDifferentiationMCQ+4 / −1

If

\log _e y=3 \sin ^{-1} x

, then

(1-x^2) y^{\prime \prime}-x y^{\prime}

at

x=\frac{1}{2}

is equal to

A
$9 e^{\pi / 2}$
B
$9 e^{\pi / 6}$
C
$3 e^{\pi / 2}$
D
$3 e^{\pi / 6}$

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