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

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

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

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

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

Solution steps

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

\frac{d}{d x} (y (4 sin (x) + 4 cos (y))) = \frac{d y}{d x} (4 sin (x) + 4 cos (y)) + (4 cos (x) - 4 sin (y) \frac{d y}{d x}) y

= \frac{d}{d x} (\frac{d y}{d x} (4 sin (x) + 4 cos (y)) + (4 cos (x) - 4 sin (y) \frac{d y}{d x}) y)

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

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

t (\frac{10 t}{7} - 20)

\frac{2 ( - y + 175 )}{3}

- b sin (t) + b cos (t) + (1 + b) (1 - b)

(3 + 2 i) (1 + 7 i) (= - 11 + 23 i)

(x + \frac{7}{2}) (x - 3)

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