defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Differential Calculus Differentiability
यदि \(\rm f(x)=\left\{\begin{matrix}x^3\sin \left(\frac{1}{x}\right)&x\ne 0\\\ 0&x=0\end{matrix}\right.\) है, तो
1
f''(0) = 1
2
\(\rm f''\left(\frac{2}{\pi}\right)=\frac{24-\pi^2}{2\pi}\)
3
\(\rm f''\left(\frac{2}{\pi}\right)=\frac{12-\pi^2}{2\pi}\)
4
f''(0) = 0