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

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

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

\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)

Solution steps

\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)

s l o p e (- 2, 2), (2, - 1)

\frac{d}{d x} (3 x^{4} - 16 x^{3} + 18 x^{2})

\int \frac{2 x + 1}{x ^{2} + x - 6} d x

\frac{d}{d x} (ln (\frac{x + 1}{x - 1}))

\frac{d}{d x} ((x - 2)^{4 x})

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