What is (d^2)/(dx^2)((y)(2x^2-4)) ?

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

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(d^2)/(dx^2)((y)(2x^2-4))

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

2 x^{2} \frac{d ^{2} y}{d x ^{2}} + 8 x \frac{d y}{d x} - 4 \frac{d ^{2} y}{d x ^{2}} + 4 y

Solution steps

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

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

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

\frac{d}{d x} (\frac{d y}{d x} (2 x^{2} - 4) + 4 x y) = 2 x^{2} \frac{d ^{2} y}{d x ^{2}} + 8 x \frac{d y}{d x} - 4 \frac{d ^{2} y}{d x ^{2}} + 4 y

= 2 x^{2} \frac{d ^{2} y}{d x ^{2}} + 8 x \frac{d y}{d x} - 4 \frac{d ^{2} y}{d x ^{2}} + 4 y

(2 + 3 i) (2 - 3 i)^{'}

x (1 - x - x^{3} + x^{4})^{2}

cos (3 t) U (t - \frac{7 π}{2})

V (2, - 3) F (2, - 4)

(4 m + 2 n = 70,) (- 3 m + 4 n = 30)

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