BV

Differentierbarhet

> restart;

> with(linalg):with(plots):

> f:=(x^2+y^2)^(2/3);g:=(x^2+y^2)^(1/2);

f := (x^2+y^2)^(2/3)

g := (x^2+y^2)^(1/2)

> plot3d({g,0},x=-2..2,y=-2..2);

[Plot]g(x,y)=(x2 + y2)1/2 , icke-differentierbara fallet.

> plot3d({f,0},x=-1..1,y=-1..1);

[Plot]f(x,y)=(x2 + y2)2/3 , differentierbara fallet.

>