Is the following true or false

Question

1) True

2) False

Answer 1

y = x^2 * cos x

y' = x^2 * -sinx + 2x * cos x = x ( 2 cos x - x * sin x)

y'' = (2 cos x - x * sin x) + x ( -2sinx - x*cos x - sin x)

= 2 cos x - x sin x - 2 x sin x - x^2 cos x - x sin x

= 2 cos x - 4 x sin x - x^2 cos x

TRUE