(d^2)/(dx^2)((4x^2+2x)sin(x))

解答

\frac{d ^{2}}{d x ^{2}} ((4 x^{2} + 2 x) sin (x))

8 sin (x) + 2 cos (x) (8 x + 2) - sin (x) (4 x^{2} + 2 x)

求解步骤

\frac{d ^{2}}{d x ^{2}} ((4 x^{2} + 2 x) sin (x))

\frac{d}{d x} ((4 x^{2} + 2 x) sin (x)) = (8 x + 2) sin (x) + cos (x) (4 x^{2} + 2 x)

= \frac{d}{d x} ((8 x + 2) sin (x) + cos (x) (4 x^{2} + 2 x))

\frac{d}{d x} ((8 x + 2) sin (x) + cos (x) (4 x^{2} + 2 x)) = 8 sin (x) + 2 cos (x) (8 x + 2) - sin (x) (4 x^{2} + 2 x)

= 8 sin (x) + 2 cos (x) (8 x + 2) - sin (x) (4 x^{2} + 2 x)