f

f'

f''

Linkskrümmung

Rechtkrümmung

f' steigt

f' fällt

g(x) = (-15 / 4096 * x^(5)) + (75 / 1024 * x^(4)) - (125 / 256 * x^(3)) + (75 / 64 * x^(2))
P1: (1.17, g(1.17))
P2: (4, g(4))
P3: (6.83, g(6.83))
x1: x(P1)
x2: x(P2)
x3: x(P3)
f0(x) = If[x < x1, g(x)]
f1(x) = If[x1 ≤ x < x2, g(x)]
f2(x) = If[x2 ≤ x < x3, g(x)]
g1(x) = g'(x)
gl1: x = x1
gl2: x = x2
gl3: x = x3
f3(x) = If[x3 ≤ x, g(x)]
h0(x) = If[x < x1, g1(x)]
h1(x) = If[x1 ≤ x < x2, g1(x)]
h2(x) = If[x2 ≤ x < x3, g1(x)]
h3(x) = If[x3 ≤ x, g1(x)]
g2(x) = g''(x)
k0(x) = If[x < x1, g2(x)]
k1(x) = If[x1 ≤ x < x2, g2(x)]
k2(x) = If[x2 ≤ x < x3, g2(x)]
k3(x) = If[x3 ≤ x, g2(x)]