ψ=f(x)

ψ=f(x)

ΟΡΙΟ ΣΤΟ χ_0

x_0 = 1 (slider from -3 to 3, step 0.05)
ε = 0.71 (slider from 0.01 to 1, step 0.01)
g(x) = x^(2) + x + 1
a: x = x_0
Σ: (x_0, g(x_0))
Α: (x_0 - ε, g(x_0 - ε))
b = OrthogonalLine(Α, xAxis)
Β: (x_0 + ε, g(x_0 + ε))
c = OrthogonalLine(Β, xAxis)
d = OrthogonalLine(Α, yAxis)
e = OrthogonalLine(Β, yAxis)
ψ = Intersect(e, yAxis)
ψ_. = Intersect(d, yAxis)
χ_. = Intersect(b, xAxis)
χ = Intersect(c, xAxis)
g_1 = Segment(χ_., Α)
h = Segment(Β, χ)
i = Segment(Β, ψ)
j = Segment(ψ_., Α)
χ_0 = Intersect(a, xAxis)
k = Segment(Σ, χ_0)
n = Segment(χ_., χ)
A2: x_0 - ε
B2: g(A2)
C2: x_0 + ε
D2: g(C2)
f(x) = (x^(3) - 1) / (x - 1)
κείμενο1: "f(x)=" + (LaTeX[f]) + ""
Σ_.: (x_0, f(x_0))
p = Segment(χ_., χ_0)
q = Segment(χ, χ_0)
l = Integral(g, x_0 - ε, x_0)
o = Integral(g, x_0, x_0 + ε)
Γ: (0, g(x_0))
m = Segment(ψ_., Γ)
r = Segment(ψ, Γ)
s = Segment(Γ, Σ_.)
t = Segment(Γ, Σ)
A1(x) = x  <  x_0
C1(x) = x > x_0
u = false
Δ: (0, f(x_0))