erweitern (80(0.6xcos(0.6x)-sin(0.6x)))/(x^2)

Lösung

erweitern

\frac{80 ( 0.6 x cos ( 0.6 x ) - sin ( 0.6 x ) )}{x ^{2}}

\frac{48 cos ( 0.6 x )}{x} - \frac{80 sin ( 0.6 x )}{x ^{2}}

Schritte zur Lösung

\frac{80 ( 0.6 x cos ( 0.6 x ) - sin ( 0.6 x ) )}{x ^{2}}

Multipliziere aus

80 (0.6 x cos (0.6 x) - sin (0.6 x)) : 48 x cos (0.6 x) - 80 sin (0.6 x)

= \frac{48 x cos ( 0.6 x ) - 80 sin ( 0.6 x )}{x ^{2}}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{48 x cos ( 0.6 x ) - 80 sin ( 0.6 x )}{x ^{2}} = \frac{48 x cos ( 0.6 x )}{x ^{2}} - \frac{80 sin ( 0.6 x )}{x ^{2}}

= \frac{48 x cos ( 0.6 x )}{x ^{2}} - \frac{80 sin ( 0.6 x )}{x ^{2}}

Streiche

\frac{48 x cos ( 0.6 x )}{x ^{2}} : \frac{48 cos ( 0.6 x )}{x}

= \frac{48 cos ( 0.6 x )}{x} - \frac{80 sin ( 0.6 x )}{x ^{2}}

e x p an d sin (h) (t - 2)

e x p an d (sin (x) + cos (x)) \cdot (tan (x) + cos (x))

e x p an d \frac{\frac{1}{c}}{x + y}

e x p an d (x = 3 x^{3} - 4) (x^{3} - 3 x + 5)

e x p an d (x - 1) (x^{2} - \frac{2}{19} x - \frac{17}{19})