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

Lösung

\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

Schritte zur Lösung

\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

e x p an d (2 + 3 i) (2 - 3 i)^{'}

e x p an d x (1 - x - x^{3} + x^{4})^{2}

e x p an d cos (3 t) U (t - \frac{7 π}{2})

e x p an d V (2, - 3) F (2, - 4)

e x p an d (4 m + 2 n = 70,) (- 3 m + 4 n = 30)