erweitern x^{(1-2x)/x}*(1-ln(x))

Lösung

erweitern

x^{\frac{1 - 2 x}{x}} \cdot (1 - ln (x))

x^{\frac{1 - 2 x}{x}} - x^{\frac{1 - 2 x}{x}} ln (x)

Schritte zur Lösung

x^{\frac{1 - 2 x}{x}} (1 - ln (x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = x^{\frac{1 - 2 x}{x}}, b = 1, c = ln (x)

= x^{\frac{1 - 2 x}{x}} \cdot 1 - x^{\frac{1 - 2 x}{x}} ln (x)

= 1 \cdot x^{\frac{1 - 2 x}{x}} - x^{\frac{1 - 2 x}{x}} ln (x)

Multipliziere:

1 \cdot x^{\frac{1 - 2 x}{x}} = x^{\frac{1 - 2 x}{x}}

= x^{\frac{1 - 2 x}{x}} - x^{\frac{1 - 2 x}{x}} ln (x)

\frac{d}{d t} ((z (t)) (- 10 sin (t) + 2 cos (t)))

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

e x p an d (s + 2 π)^{2}

\frac{d}{d r} ((r) (\frac{8 π r}{3} - \frac{2 v}{r}))

\frac{d ^{2}}{d h ^{2}} ((V (h)) ((3 h^{2} + 4)^{\frac{3}{2}} - 8))