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

The answer to (d^2)/(dx^2)((cos(2x))(sin(6x))) is -40sin(6x)cos(2x)-24cos(6x)sin(2x)

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(d^2)/(dx^2)((cos(2x))(sin(6x)))

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

- 40 sin (6 x) cos (2 x) - 24 cos (6 x) sin (2 x)

Solution steps

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

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

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

\frac{d}{d x} (- 2 sin (2 x) sin (6 x) + 6 cos (6 x) cos (2 x)) = - 40 sin (6 x) cos (2 x) - 24 cos (6 x) sin (2 x)

= - 40 sin (6 x) cos (2 x) - 24 cos (6 x) sin (2 x)

\int \frac{cos ( x )}{sin ^{12} ( x )} d x

y = e

f (x) = \frac{4}{x - 1}

96 s^{2} + 117 s + 108

\int 4^{2 - 3 x} d x

What is (d^2)/(dx^2)((cos(2x))(sin(6x))) ?
The answer to (d^2)/(dx^2)((cos(2x))(sin(6x))) is -40sin(6x)cos(2x)-24cos(6x)sin(2x)