If y = x sin x, Find (frac{d^2 y}{d^2 x})
-
A.
2 cosx – x sinx -
B.
sinx + x cosx -
C.
sinx – x cosx -
D.
x sinx – 2 cosx
Correct Answer: Option A
Explanation
(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)