2

0,04

Funktion

f(x)=a \cdot sin(b \cdot x)

a:

b:

8

0,28

0.84

x

y

0,56

1,12

Geschwindigkeit=

Weg

Zeit

Die Geschwindigkeit zum 
Zeitpunkt x  ist f'(x).

Bild1 = (-0.92, -4.15)
Bild2: (x(Bild1) + 18.0, y(Bild1))
Bild3: (x(Bild1), y(Bild1) + 8.0)
H = (4.03, 2.82)
T = (12.09, -2.82)
a = 2.4 (slider from 0 to 5, step 0.001)
b = 0.526 (slider from 0.2 to 0.6, step 0.001)
c = 0 (slider from -5 to 5, step 0.01)
d = 0 (slider from -5 to 5, step 0.01)
f(x) = a * sin(b * x)
t = 1.15 (slider from 0 to 16, step 0.575)
e = Tangent(t, f)
A = (-1, 0)
B = (18, 0)
u = Vector(A, B)
C = (0, -4)
D = (0, 4)
v = Vector(C, D)
Folie = 0 (slider from 0 to 8, step 1)
P: (1.725, f(1.725))
w = 13.81 (slider from 0 to 16, step 0.01)
W: (w, f(w))
G = (7.49659595614245, 2.792640071022235)
I = (8.208595956142451, 2.792640071022235)
J = (9.031, 2.828)
K = (17.6412844102239, 2.828129196345469)
L = (10.143804344033564, 1.2097659254770574)
M = (11.812382993779188, 1.2097659254770574)
m = false
Text15: "f(x)=" + (a * 3.48) + "sin(" + (b * 14.375) + "x)"
Liste1 = Sequence(Segment[(k, 0.25), (k, -(0.25))], k, 0.0, 17.0, 0.577)
Liste2 = Sequence(Segment[(0.25, k), (-(0.25), k)], k, -3.462, 3.462, 0.577)
B_b: (2.885, f(2.885))
sektan = 1.154 (slider from 1.154 to 2.88, step 0.01)
B_a: (sektan, f(sektan))
g = Line(B_a, B_b)
E: (x(B_b), y(B_a))
h = Segment(B_b, E)
i = Segment(E, B_a)
F = (14.944799089760128, 5.945615208737822)
N = (16.327342584313982, 5.945615208737822)
j = Segment(F, N)
anistop = If(sektan < 2.88 ∧ Folie ≟ 7.0, true, false)