erweitern (d^2)/(dx^2)((x^2-3)(2x^6+3))+(2/(e^x))

Lösung

erweitern

\frac{d ^{2}}{d x ^{2}} ((x^{2} - 3) (2 x^{6} + 3)) + (\frac{2}{e ^{x}})

\frac{d ^{2}}{d x ^{2}} (2 x^{8} + 3 x^{2} - 6 x^{6} - 9) + \frac{2}{e ^{x}}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} ((x^{2} - 3) (2 x^{6} + 3)) + (\frac{2}{e ^{x}})

Entferne die Klammern:

(a) = a

= \frac{d ^{2}}{d x ^{2}} ((x^{2} - 3) (2 x^{6} + 3)) + \frac{2}{e ^{x}}

Multipliziere aus

(x^{2} - 3) (2 x^{6} + 3) : 2 x^{8} + 3 x^{2} - 6 x^{6} - 9

= \frac{d ^{2}}{d x ^{2}} (2 x^{8} - 6 x^{6} + 3 x^{2} - 9) + \frac{2}{e ^{x}}

s im pl i f y f (x) (3 x^{2} + 1) (2.4)

e x p an d \frac{x + 1}{( 2 x - 1 ) ( x - 1 )}

s im pl i f y (x - \frac{1}{9}) (x + \frac{7}{9})

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

e x p an d 22 (1 + 9 e^{- 0.1 t})