admin: Graph:
[input]plot( x^3/(x^2-x-6), x=-5..5, -20..20 )[/input]
Nullstellen:
[input]solve( x^3/(x^2-x-6)=0, x)[/input]
1. Ableitung:
[input]diff( x^3/(x^2-x-6), x)[/input]
2. Ableitung:
[input]diff( -(((2*x-1)*x^3)/(((x^2-x)-6)^2))+(3*x^2)/((x^2-x)-6) , x)[/input]
Extremstellen, notwendiges Kriterium: diff( .. ,x)=0
[input]solve( -(((2*x-1)*x^3)/(((x^2-x)-6)^2))+(3*x^2)/((x^2-x)-6)=0 , x )[/input]
Wendepunkte, notwendiges Kriterium: diff( diff( .. ,x), x)=0
[input]solve( ((((2*(2*x-1)^2)*x^3)/(((x^2-x)-6)^3)-(((6*(2*x-1))*x^2)/(((x^2-x)-6)^2)))-((2*x^3)/(((x^2-x)-6)^2)))+(6*x)/((x^2-x)-6)=0, x)[/input]
