Höhenprofil

Steigungsprofil

h1(x) = (-197 / 5625 * x^(6)) + (43751 / 67500 * x^(5)) - (105487 / 22500 * x^(4)) + (7923 / 500 * x^(3)) - (57547 / 2700 * x^(2)) + 20
h2(x) = (4295 / 4148928 * x^(6)) - (11467 / 345744 * x^(5)) + (163375 / 691488 * x^(4)) + (2932205 / 1037232 * x^(3)) - (23552785 / 460992 * x^(2)) + (5090025 / 19208 * x) - 4276211 / 9604
f0(x) = If[-0.1 ≤ x ≤ 5, (0.25 * h1(x)), If[5 ≤ x ≤ 12.1, (0.25 * h2(x))]]
M1 = NaN
M2 = NaN
kP: (0.1, -0.10)
U2 = NaN
O2 = NaN
L = -1 (slider from -5 to 5, step 0.1)
R = 13 (slider from -5 to 20, step 0.1)
f1(x) = f0'(x)
P3 = NaN
kL = -1 (slider from -5 to 5, step 0.1)
kR = 13 (slider from -5 to 20, step 0.1)
kU1 = -0.5 (slider from -5 to 5, step 0.1)
k = 1 (slider from -5 to 5, step 0.1)
kO1 = 6 (slider from -5 to 10, step 0.1)
kU2 = -4 (slider from -5 to 5, step 0.1)
kO2 = 2 (slider from -5 to 5, step 0.1)
P = Point(f0)
P0: (x(P), 0)
s = Segment(P0, P)
t = Tangent(P, f0)
P1: (x(P), f0'(x(P)))
m = Slope(t)
P10: (x(P), 0)
s' = Segment(P10, P1)