What is (d^2)/(dx^2)((3x^2+6x)sin(x)) ?

The answer to (d^2)/(dx^2)((3x^2+6x)sin(x)) is 6sin(x)+2cos(x)(6x+6)-sin(x)(3x^2+6x)

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(d^2)/(dx^2)((3x^2+6x)sin(x))

\frac{d ^{2}}{d x ^{2}} ((3 x^{2} + 6 x) sin (x))

6 sin (x) + 2 cos (x) (6 x + 6) - sin (x) (3 x^{2} + 6 x)

Solution steps

\frac{d ^{2}}{d x ^{2}} ((3 x^{2} + 6 x) sin (x))

\frac{d}{d x} ((3 x^{2} + 6 x) sin (x)) = (6 x + 6) sin (x) + cos (x) (3 x^{2} + 6 x)

= \frac{d}{d x} ((6 x + 6) sin (x) + cos (x) (3 x^{2} + 6 x))

\frac{d}{d x} ((6 x + 6) sin (x) + cos (x) (3 x^{2} + 6 x)) = 6 sin (x) + 2 cos (x) (6 x + 6) - sin (x) (3 x^{2} + 6 x)

= 6 sin (x) + 2 cos (x) (6 x + 6) - sin (x) (3 x^{2} + 6 x)

\frac{d}{d x} (cos (2 x - 1) tan (1 - 2 x))

e^{x}, x e^{x^{2}}, [0, 1]

f (x) = \frac{1}{( 3 - x ) ^{2}}

4 t^{\frac{- 3}{8}}

What is (d^2)/(dx^2)((3x^2+6x)sin(x)) ?
The answer to (d^2)/(dx^2)((3x^2+6x)sin(x)) is 6sin(x)+2cos(x)(6x+6)-sin(x)(3x^2+6x)