erweitern-(35(-e^{1/x}-2e^{1/x}x))/(x^4)

Lösung

erweitern

- \frac{35 ( - e ^{\frac{1}{x}} - 2 e ^{\frac{1}{x}} x )}{x ^{4}}

\frac{35 e ^{\frac{1}{x}}}{x ^{4}} + \frac{70 e ^{\frac{1}{x}}}{x ^{3}}

Schritte zur Lösung

- \frac{35 ( - e ^{\frac{1}{x}} - 2 e ^{\frac{1}{x}} x )}{x ^{4}}

Multipliziere aus

35 (- e^{\frac{1}{x}} - 2 e^{\frac{1}{x}} x) : - 35 e^{\frac{1}{x}} - 70 e^{\frac{1}{x}} x

= - \frac{- 70 e ^{\frac{1}{x}} x - 35 e ^{\frac{1}{x}}}{x ^{4}}

Wende Bruchregel an:

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

\frac{- 35 e ^{\frac{1}{x}} - 70 e ^{\frac{1}{x}} x}{x ^{4}} = - (- \frac{35 e ^{\frac{1}{x}}}{x ^{4}}) - (- \frac{70 e ^{\frac{1}{x}} x}{x ^{4}})

= - (- \frac{35 e ^{\frac{1}{x}}}{x ^{4}}) - (- \frac{70 e ^{\frac{1}{x}} x}{x ^{4}})

Wende Regel an

- (- a) = a

= \frac{35 e ^{\frac{1}{x}}}{x ^{4}} + \frac{70 e ^{\frac{1}{x}} x}{x ^{4}}

Streiche

\frac{70 e ^{\frac{1}{x}} x}{x ^{4}} : \frac{70 e ^{\frac{1}{x}}}{x ^{3}}

= \frac{35 e ^{\frac{1}{x}}}{x ^{4}} + \frac{70 e ^{\frac{1}{x}}}{x ^{3}}

e x p an d \frac{31 ( 6.26 s + 77.22 )}{s ^{2} ( s + 143 ) ( 0.155 s + 1 )}

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

e x p an d \frac{1}{3} (13.9 ln (13.9) - 13.9)

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

e x p an d \frac{2 y ( 2 x ^{3} - 3 y x ^{2} )}{( x - y ) ^{2}}