Wendetangentenkasten

WMA-Streifen

Integral

Euler-Kasten

e-Funktion mit besonderen 
Kasteneigenschaften

Zusammenspiel CAS-Algebra

Im CAS exakte Rechnungen mit k.
In Algebra mit Regler kk.

Ha 14, seit 96 in div. Systemen

kk = 2 (slider from -5 to 5, step 0.1)
f(x) = (exp(x) - kk)^(2)
g(x) = kk^(2)
A = Intersect(g, f, (1.3862943611211886, 4))
W: (log(kk / 2), f(log(kk / 2)))
M: (log(kk), 0)
wt(x) = (f'(log(kk / 2)) * (x - log(kk / 2))) + f(log(kk / 2))
B = Intersect(g, wt)
C = Intersect(wt, xAxis)
breite: x(C) - x(B)
yw: f(log(kk / 2))
ywK: kk^(2) / 4
b = OrthogonalLine(B, xAxis)
c = OrthogonalLine(C, xAxis)
D = Intersect(b, xAxis)
E = Intersect(c, xAxis)
F = Intersect(g, c)
Wt, f_1, c_1, d, b_1 = Polygon(F, C, D, B)
e = false
h = OrthogonalLine(W, c_1)
i = OrthogonalLine(A, xAxis)
j = OrthogonalLine(M, c_1)
G = Intersect(h, b_1)
H = Intersect(g, j)
I = Intersect(g, b_1, 1)
J = Intersect(j, h)
K = Intersect(c_1, xAxis)
L = Intersect(j, xAxis)
N = Intersect(i, xAxis)
O = Intersect(h, xAxis)
Vieleck2, g_1, h_1, m, o = Polygon(G, H, M, O)
Vieleck3, h_2, a_1, n, m_1 = Polygon(H, A, N, M)
l = false
xwK: x(F) - x(O)
links = -8 (slider from -16 to 5, step 1)
Flaeche = IntegralBetween(g, f, links, x(A))
q = true