erweitern-(1.2(1-0.03x^2))/((0.01x^2+1)^3)

Lösung

erweitern

- \frac{1.2 ( 1 - 0.03 x ^{2} )}{( 0.01 x ^{2} + 1 ) ^{3}}

- \frac{1.2 - 0.036 x ^{2}}{0.000001 x ^{6} + 0.0003 x ^{4} + 0.03 x ^{2} + 1}

Schritte zur Lösung

- \frac{1.2 ( 1 - 0.03 x ^{2} )}{( 0.01 x ^{2} + 1 ) ^{3}}

(0.01 x^{2} + 1)^{3} = 0.000001 x^{6} + 0.0003 x^{4} + 0.03 x^{2} + 1

= - \frac{1.2 ( - 0.03 x ^{2} + 1 )}{0.000001 x ^{6} + 0.0003 x ^{4} + 0.03 x ^{2} + 1}

Multipliziere aus

1.2 (1 - 0.03 x^{2}) : 1.2 - 0.036 x^{2}

= - \frac{- 0.036 x ^{2} + 1.2}{0.000001 x ^{6} + 0.0003 x ^{4} + 0.03 x ^{2} + 1}

\frac{d}{d t} ((W (t)) (t - W (t)) \cdot g (t))

e x p an d e^{x y} (y) (x^{2} + y^{2}) + e^{x y} (y) (2 x)

e x p an d \frac{4 ( n + 1 ) ( 2 n + 1 )}{n ^{2}}

e x p an d 4 sin^{2} (2 t) + 4 cos^{2} (2 t) + (e^{t} - e^{- t})^{2}

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