JAMB - Mathematics (1992 - No. 32)
If y = x sin x, Find \(\frac{d^2 y}{d^2 x}\)
2 cosx - x sinx
sinx + x cosx
sinx - x cosx
x sinx - 2 cosx
توضیح
\(y = x \sin x\)
\(\frac{\mathrm d y}{\mathrm d x} = x \cos x + \sin x\)
\(\frac{\mathrm d^{2} y}{\mathrm d x^{2}} = x (- \sin x) + \cos x + \cos x\)
= \(2 \cos x - x \sin x\)