What is (d^2)/(dx^2)((5x^2+4x)cos(x)) ?

The answer to (d^2)/(dx^2)((5x^2+4x)cos(x)) is -5x^2cos(x)-20xsin(x)-4xcos(x)-8sin(x)+10cos(x)

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(d^2)/(dx^2)((5x^2+4x)cos(x))

\frac{d ^{2}}{d x ^{2}} ((5 x^{2} + 4 x) cos (x))

- 5 x^{2} cos (x) - 20 x sin (x) - 4 x cos (x) - 8 sin (x) + 10 cos (x)

Solution steps

\frac{d ^{2}}{d x ^{2}} ((5 x^{2} + 4 x) cos (x))

\frac{d}{d x} ((5 x^{2} + 4 x) cos (x)) = cos (x) (10 x + 4) - sin (x) (5 x^{2} + 4 x)

= \frac{d}{d x} (cos (x) (10 x + 4) - sin (x) (5 x^{2} + 4 x))

\frac{d}{d x} (cos (x) (10 x + 4) - sin (x) (5 x^{2} + 4 x)) = - 5 x^{2} cos (x) - 20 x sin (x) - 4 x cos (x) - 8 sin (x) + 10 cos (x)

= - 5 x^{2} cos (x) - 20 x sin (x) - 4 x cos (x) - 8 sin (x) + 10 cos (x)

\int_{4}^{5} x^{3} d x

\int t^{15} e^{- t^{8}} d t

\frac{d}{d x} (\frac{e ^{x} - cos ( x )}{ln ( x )})

\int_{0}^{1} x + 1 d x

\int \frac{6 x ^{3} + 5 x ^{2} - 46 x - 39}{x ^{2} - 9} d x

What is (d^2)/(dx^2)((5x^2+4x)cos(x)) ?
The answer to (d^2)/(dx^2)((5x^2+4x)cos(x)) is -5x^2cos(x)-20xsin(x)-4xcos(x)-8sin(x)+10cos(x)