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

Lösung

erweitern

ln (x) (x + x^{2})

x ln (x) + x^{2} ln (x)

Schritte zur Lösung

ln (x) (x + x^{2})

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = ln (x), b = x, c = x^{2}

= ln (x) x + ln (x) x^{2}

= x ln (x) + x^{2} ln (x)

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

e x p an d \frac{15 π ( - 17 + 5 )}{4}

\frac{\partial}{\partial x} ((z) (x^{3} z^{2} - 5 x y^{5} z - x^{2} - y^{3}))

e x p an d x^{2} (x + 3) y^{''} (x) - 4 (x + 3) y^{'} (x) - 9 x y

e x p an d \frac{4 x ^{2} ( 9 x ^{2} + 2 ) ^{2}}{( 1 + 4 x ^{2} + 9 x ^{4} ) ^{3}}