betrachtete Stelle:

Änderung:

Schrittweite:

mittlere Änderungsrate:

f = Function({0.021459227467811114, 6.070100143061515, 0.6097560975609752, 0.7004377736085049, 0.7911194496560346, 0.8818011257035643, 0.9724828017510939, 1.0631644777986236, 1.1538461538461533, 1.244527829893683, 1.3352095059412126, 1.4258911819887425, 1.5165728580362723, 1.607254534083802, 1.6979362101313316, 1.8067542213883674, 1.915572232645403, 2.0243902439024386, 2.133208255159474, 2.24202626641651, 2.24202626641651, 2.24202626641651, 2.24202626641651, 2.24202626641651, 2.310037523452157, 2.3780487804878043, 2.4460600375234516, 2.514071294559099, 2.514071294559099, 2.514071294559099, 2.514071294559099, 2.514071294559099, 2.604752970606629, 2.6954346466541583, 2.7861163227016883, 2.8767979987492183, 2.967479674796748, 3.0581613508442773, 3.0581613508442773, 3.0581613508442773, 3.0581613508442773, 3.0581613508442773, 3.112570356472795, 3.166979362101313, 3.221388367729831, 3.2757973733583485, 3.3302063789868663, 3.4208880550343963, 3.511569731081926, 3.6022514071294554, 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Q = Point(f)
P = Point(f)
x0: x(P)
h: x(Q) - x(P)
K = 1 (slider from -5 to 5)
vPQg: (y(P) - y(Q)) / (x(P) - x(Q))
f_{1} = Segment(P, Q)
R: (x(Q) | y(P))
Zoo = 1 (slider from -5 to 5)
Text1: "m(" + (x(P)) + "," + (x(Q)) + ") = " + vPQg + ""
x1: x(Q)
df: f(x0 + h) - f(x0)
A = (NaN, NaN)
B = (NaN, NaN)
C = (NaN, NaN)
D = (NaN, NaN)
E = (NaN, NaN)
F = (NaN, NaN)
G = (NaN, NaN)
H = (NaN, NaN)
I = (NaN, NaN)
J = (NaN, NaN)
L = (-0.008583690987124503, 0.06566604127579684)
M = (0.001430615164520703, 0.06566604127579684)
j = Segment(L, M)
N = (NaN, NaN)
O = (NaN, NaN)
S = (NaN, NaN)
T = (NaN, NaN)
U = (0.001430615164520703, -0.4784240150093814)
V = (0.011444921316165908, -0.4784240150093814)
k = Segment(U, V)
W = (NaN, NaN)
Z = (NaN, NaN)
i = Vector(P, R)
g_{1} = Vector(R, Q)
Text10: "x_0 = " + x0 + ""
Text2: "x_1 = x_0 + h = " + x1 + ""
Text7: "f(x_0 + h) - f(x_0) = " + df + ""
Text8: "h = " + h + ""
Text9: "m(x_0, x_0+h) = \frac{f(x_0+h)-f(x_0)}{h} = " + (LaTeX[vPQg]) + ""