erweitern ((x+h)^{4/3}-x^{4/3})/(h((x+h)^{2/3)+x^{2/3})}

Lösung

erweitern

\frac{( x + h ) ^{\frac{4}{3}} - x ^{\frac{4}{3}}}{h ( ( x + h ) ^{\frac{2}{3}} + x ^{\frac{2}{3}} )}

\frac{( x + h ) ^{\frac{4}{3}} - x ^{\frac{4}{3}}}{h ( x + h ) ^{\frac{2}{3}} + h x ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{( x + h ) ^{\frac{4}{3}} - x ^{\frac{4}{3}}}{h ( ( x + h ) ^{\frac{2}{3}} + x ^{\frac{2}{3}} )}

Multipliziere aus

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

= \frac{( x + h ) ^{\frac{4}{3}} - x ^{\frac{4}{3}}}{h ( x + h ) ^{\frac{2}{3}} + h x ^{\frac{2}{3}}}

e x p an d \frac{x ^{2} + 2 x - 9}{( 1 + x ) ^{2}}

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

s im pl i f y - 3 (\frac{t}{81} + C)

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

e x p an d (x^{2} - 4 x) (x^{4} + 5) d x