erweitern (4ln(2))/(x(4+ln(x))^2)

Lösung

erweitern

\frac{4 ln ( 2 )}{x ( 4 + ln ( x ) ) ^{2}}

\frac{4 ln ( 2 )}{16 x + 8 x ln ( x ) + x ln ^{2} ( x )}

Schritte zur Lösung

\frac{4 ln ( 2 )}{x ( 4 + ln ( x ) ) ^{2}}

(4 + ln (x))^{2} = 16 + 8 ln (x) + ln^{2} (x)

= \frac{4 ln ( 2 )}{x ( ln ^{2} ( x ) + 8 ln ( x ) + 16 )}

Multipliziere aus

x (16 + 8 ln (x) + ln^{2} (x)) : 16 x + 8 x ln (x) + x ln^{2} (x)

= \frac{4 ln ( 2 )}{16 x + 8 x ln ( x ) + x ln ^{2} ( x )}

e x p an d x (3^{x} (ln (x)) - 36)

e x p an d \frac{2 e ( 2 s + 4 )}{( s ^{2} + 4 s + 8 ) ^{2}}

s im pl i f y 32 (2 - 2)

f a c t or {8 δ (x - 1)} (y)

e x p an d 112 (\frac{x ^{2}}{36} + \frac{y ^{2}}{27} = 1)