erweitern ((x+h)^{2/3}-x^{2/3})/h

Lösung

erweitern

\frac{( x + h ) ^{\frac{2}{3}} - x ^{\frac{2}{3}}}{h}

\frac{( x + h ) ^{\frac{2}{3}}}{h} - \frac{x ^{\frac{2}{3}}}{h}

Schritte zur Lösung

\frac{( x + h ) ^{\frac{2}{3}} - x ^{\frac{2}{3}}}{h}

Wende Bruchregel an:

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

\frac{( x + h ) ^{\frac{2}{3}} - x ^{\frac{2}{3}}}{h} = \frac{( x + h ) ^{\frac{2}{3}}}{h} - \frac{x ^{\frac{2}{3}}}{h}

= \frac{( x + h ) ^{\frac{2}{3}}}{h} - \frac{x ^{\frac{2}{3}}}{h}

e x p an d (1 - e^{3 x})^{2}

e x p an d (1 + \frac{3}{4} x)^{6}

e x p an d \frac{( 2 x + 1 )}{( x - 1 ) ( 2 x ^{3} + 6 x ^{2} - x + 4 )}

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

e x p an d \frac{( - 2 s - 6 ) ( - s ^{2} - 6 s + 99 )}{( s ^{2} + 6 s + 45 ) ^{3}}