u(x) anzeigen

v(x) anzeigen

f(x)=u(v(x)) anzeigen

Animation an

Setze den Haken bei ''f(x) anzeigen'' !

Sekante/Tangente anzeigen

Lasse mit Hilfe des Schiebereglers ''h gegen null laufen''.

v(x) = 1.2^(x)
u(x) = 0.8 * x^(2.0)
f(x) = u(v(x))
u_2 = true
v_2 = true
uvonv = true
e = 4 (slider from -5 to 5, step 0.1)
X: (e, 0.0)
Y_v: (0.0, v(e))
P_x: (e, u(v(e)))
streckung = 0.8 (slider from 0 to 0.9, step 0.05)
B = (-1.32, 4.8)
h_11 = Vector(B, X)
V_x: (e, v(e))
h_22 = Vector(X, V_x)
h_32 = Vector(V_x, Y_v)
X_u: (v(e), 0.0)
h_42 = Vector(Y_v, X_u)
U_v: (v(e), u(v(e)))
h_52 = Vector(X_u, U_v)
h_62 = Vector(U_v, P_x)
Text_x: "x = " + e
a = false
h = 0.78 (slider from 0 to 3, step 0.01)
X_h: (e + h, 0.0)
V_{xh}: (x(X_h), v(x(X_h)))
Y_{vh}: (0.0, y(V_{xh}))
X_{uh}: (y(Y_{vh}), 0.0)
hh_4 = Vector(Y_{vh}, X_{uh})
hh_3 = Vector(V_{xh}, Y_{vh})
hh_2 = Vector(X_h, V_{xh})
U_{vh}: (x(X_{uh}), u(x(X_{uh})))
hh_5 = Vector(X_{uh}, U_{vh})
P_{x+h}: (e + h, y(U_{vh}))
hh_6 = Vector(U_{vh}, P_{x+h})
Sekante = Line(P_x, P_{x+h})
c = false
Tangente = Tangent(e, f)
b = Segment(X, X_h)