erweitern (3(2xln(x)-x))/(ln^2(x))

Lösung

erweitern

\frac{3 ( 2 x ln ( x ) - x )}{ln ^{2} ( x )}

\frac{6 x}{ln ( x )} - \frac{3 x}{ln ^{2} ( x )}

Schritte zur Lösung

\frac{3 ( 2 x ln ( x ) - x )}{ln ^{2} ( x )}

Multipliziere aus

3 (2 x ln (x) - x) : 6 x ln (x) - 3 x

= \frac{6 x ln ( x ) - 3 x}{ln ^{2} ( x )}

Wende Bruchregel an:

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

\frac{6 x ln ( x ) - 3 x}{ln ^{2} ( x )} = \frac{6 x ln ( x )}{ln ^{2} ( x )} - \frac{3 x}{ln ^{2} ( x )}

= \frac{6 x ln ( x )}{ln ^{2} ( x )} - \frac{3 x}{ln ^{2} ( x )}

Streiche

\frac{6 x ln ( x )}{ln ^{2} ( x )} : \frac{6 x}{ln ( x )}

= \frac{6 x}{ln ( x )} - \frac{3 x}{ln ^{2} ( x )}

s im pl i f y 4 x (4 x^{3} - 3 4 x)

\frac{d}{d x} ((P (x)) (x (36 - x)^{2}))

s im pl i f y (3 a - 5) (3 a + 9)

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

e x p an d \frac{( a - 3 ) ( - 2 - a )}{4}