erweitern x^2(1/x-ln(1+1/x))

Lösung

erweitern

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

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

Schritte zur Lösung

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

Wende das Distributivgesetz an:

a (b - c) = ab - a c

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

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

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

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

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

e x p an d - 3 - 3 (2 x + 79 + (- 5 x + 6) - 8 (1 - 2 x) - (x - 3) = 0)

e x p an d \frac{2000}{( x + 100 ) ^{3}}

\frac{d}{d p} ((q) (2 p^{2} + q^{2} - 1000))

e x p an d \frac{3 ^{2} - 25}{3 - 6}

e x p an d (338.76 + 84.69 x)^{2} + (- 206 - 64 x)^{s}