(d^2)/(dx^2)((y)(4x^3-7x^2+3x-9))

Lösung

\frac{d ^{2}}{d x ^{2}} ((y) (4 x^{3} - 7 x^{2} + 3 x - 9))

\frac{d ^{2} y}{d x ^{2}} (4 x^{3} - 7 x^{2} + 3 x - 9) + 2 (12 x^{2} - 14 x + 3) \frac{d y}{d x} + (24 x - 14) y

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} ((y) (4 x^{3} - 7 x^{2} + 3 x - 9))

\frac{d}{d x} (y (4 x^{3} - 7 x^{2} + 3 x - 9)) = \frac{d y}{d x} (4 x^{3} - 7 x^{2} + 3 x - 9) + (12 x^{2} - 14 x + 3) y

= \frac{d}{d x} (\frac{d y}{d x} (4 x^{3} - 7 x^{2} + 3 x - 9) + (12 x^{2} - 14 x + 3) y)

\frac{d}{d x} (\frac{d y}{d x} (4 x^{3} - 7 x^{2} + 3 x - 9) + (12 x^{2} - 14 x + 3) y) = \frac{d ^{2} y}{d x ^{2}} (4 x^{3} - 7 x^{2} + 3 x - 9) + 2 (12 x^{2} - 14 x + 3) \frac{d y}{d x} + (24 x - 14) y

= \frac{d ^{2} y}{d x ^{2}} (4 x^{3} - 7 x^{2} + 3 x - 9) + 2 (12 x^{2} - 14 x + 3) \frac{d y}{d x} + (24 x - 14) y

e x p an d (6, - 8, 3) y (- 4, - 1, - 3)

s im pl i f y (x + 2 + 3 x - 6)^{2}

s im pl i f y (z + \frac{1}{2}) \cdot (z - 1)

e x p an d \frac{tan ( \frac{180 - θ}{2} ) ( t - 2 w )}{2}

e x p an d (1 - cos (x)) (x - sin (x))