$\vec{v}$

$\vec{v}$

$\textcolor{#3333FF}{f(x,y)=}$

f(x, y) = x^(2) + y^(2)
P = PointIn(xOyPlane)
N = Intersect(xAxis, yAxis)
einheitskreis = Circle(N, 1)
V = Point(einheitskreis)
v = Vector(N, V)
v_2 = Vector(P, P + v)
ebene = Plane(P, P + (0, 0, 1), P + v)
g_f = IntersectPath(ebene, f)
f'_x = Derivative(f, x)
f'_y = Derivative(f, y)
nabla_f: {{f'_x(P), f'_y(P)}}
g = Line((x(P), y(P), z(P)), Vector[(x(v), y(v), z(v))])
nabla_{fv}: ((f'_x(P), f'_y(P)) * v)
funktionsvorschrift = Textfield(f)
textP: "(x,y)=\textcolor{#3333FF}{" + (LaTeX[P]) + "}"
textGradient: "grad\text{ }f(x,y)=" + (LaTeX[nabla_f]) + ""
textRichtungsableitung: "\frac{∂f}{∂\vec{v}}(x,y)=" + (LaTeX[nabla_{fv}]) + ""
textV: "\vec{v}=" + (LaTeX[v]) + ""
P_{f}: P + (0, 0, f(P))
s_{f} = Segment(P, P_{f})
g_v = CurveCartesian((x(P) + (t * x(v)), y(P) + (t * y(v)), f(P) + (t * nabla_{fv})), t, -1, 1)