A(x_o ,y_o)

Σ(x, y)

x=x_o+h

x_o

y_o=f(x_o)

y=f(x)=f(x_o+h)

H

w

εφw=\frac{ΣΗ}{ΑΗ}=\frac{y-y_o}{x-x_o}=\frac{f(x)-f(x_o)}{x-x_o}=λ

h

εφw=\frac{f(x_o+h)-f(x_o)}{h}=λ

εφω (1)

εφω(2)

Με πατημένο αριστερό ΚΛΙΚ, μετακινείστε το κόκκινο σημείο.

a = 0.25 (slider from -5 to 5, step 0.001)
f(x) = (a * x^(2))
Α = Point(f)
Β = Point(f)
g = Line(Α, Β)
h = OrthogonalLine(Β, xAxis)
Γ = Intersect(h, xAxis)
i = Segment(Β, Γ)
j = OrthogonalLine(Α, xAxis)
Δ = Intersect(j, xAxis)
k = Segment(Δ, Γ)
α = Angle(Β, Γ, Δ)
l = OrthogonalLine(Β, yAxis)
m = OrthogonalLine(Α, yAxis)
Ε = Intersect(m, i)
Ζ = Intersect(l, yAxis)
n = Segment(Β, Ζ)
Η = Intersect(m, yAxis)
p = Segment(Α, Ε)
q = Segment(Α, Η)
r = Segment(Α, Δ)
s = Segment(Ζ, Η)
β = Angle(p, g)
γ = Angle(Β, Ε, Α)
δ = Angle(Η, Ζ, Β)
ε = Angle(Α, Η, Ζ)
ζ = Angle(Ζ, Β, Ε)
Θ = Point(k)
b = true
c = true
t1, α_1, β_1, ε_1 = Polygon(Β, Ε, Α)
η = Angle(xAxis, g)
Ι = Intersect(f, xAxis, 1)