Zielfunktion anzeigen

1. Ableitung anzeigen

A = Point(xAxis)
B = (0, 0)
a = Segment(B, A)
V: (a, a / 6.0 * sqrt(1.0 - a^(4.0)))
b = 0.6578947368421053
c: sqrt(1.0 - a^(4.0)) / 2.0 * a
e_x = (-0.4, -0.04)
e_y = (1, 0)
e_z = (0, 0.1)
h: sqrt(1.0 - a^(4.0)) / (2.0 * a)
S: 2.0 * e_y + 0.2 * e_z
E: S + a / 2.0 * e_x + a / 2.0 * e_y + h * e_z
D: S + a / 2.0 * e_x - a / 2.0 * e_y + h * e_z
F: S - a / 2.0 * e_x + a / 2.0 * e_y + h * e_z
G: S - a / 2.0 * e_x - a / 2.0 * e_y + h * e_z
d = Segment(S, D)
e = Segment(S, F)
Vieleck1, d_1, e_1, f_1, g_1 = Polygon(D, E, F, G)
f(x) = x / 6.0 * sqrt(1.0 - x^(4.0))
i = false
g(x) = f'(x)
j = false
C = Intersect(g, xAxis, (1.2469399243858128, 1.0893192751300456E-4))
H = Intersect(g, xAxis, (1.2649403873392486, -4.910835042681867E-4))
I = Intersect(g, a, (0.4309189371633927, 0.14831274357746724))
J = Intersect(g, xAxis, (0.7598356859945032, -3.6848154157572327E-10))
k = OrthogonalLine(J, xAxis)
l = Segment(S, E)
m = Segment(S, G)
Text1: "Volumen V(" + a + ") = " + (y(V)) + " E³"
Text2: "Oberfläche O(a) = " + (2.0 * a * sqrt(a^(2.0) / 4.0 + h^(2.0))) + " E²"
n = Tangent(V, f)