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Differentiation question

2024 · 6 Apr · Shift 1 · Q38

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JEE Main
Mathematics
Differentiation
2024 · 6 Apr · Shift 1 · Q38

Differentiation question

2024 · 6 Apr · Shift 1 · Q38

JEE MainMathematicsDifferentiationMCQ+4 / −1

\text { If } f(x)=\left\{\begin{array}{ll} x^3 \sin \left(\frac{1}{x}\right), & x eq 0 \\ 0 & , x=0 \end{array}\right. \text {, then }

A
$f^{\prime \prime}(0)=0$
B
$f^{\prime \prime}(0)=1$
C
$f^{\prime \prime}\left(\frac{2}{\pi}\right)=\frac{24-\pi^2}{2 \pi}$
D
$f^{\prime \prime}\left(\frac{2}{\pi}\right)=\frac{12-\pi^2}{2 \pi}$

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