What is (d^2)/(dx^2)((4x^2+8x)cos(x)) ?

The answer to (d^2)/(dx^2)((4x^2+8x)cos(x)) is -4x^2cos(x)-16xsin(x)-8xcos(x)-16sin(x)+8cos(x)

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(d^2)/(dx^2)((4x^2+8x)cos(x))

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

- 4 x^{2} cos (x) - 16 x sin (x) - 8 x cos (x) - 16 sin (x) + 8 cos (x)

Solution steps

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

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

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

\frac{d}{d x} (cos (x) (8 x + 8) - sin (x) (4 x^{2} + 8 x)) = - 4 x^{2} cos (x) - 16 x sin (x) - 8 x cos (x) - 16 sin (x) + 8 cos (x)

= - 4 x^{2} cos (x) - 16 x sin (x) - 8 x cos (x) - 16 sin (x) + 8 cos (x)

What is (d^2)/(dx^2)((4x^2+8x)cos(x)) ?
The answer to (d^2)/(dx^2)((4x^2+8x)cos(x)) is -4x^2cos(x)-16xsin(x)-8xcos(x)-16sin(x)+8cos(x)