κλίση

Εφαπτομένη της C_f

Παράγωγος

Σπύρος Γιαννακόπουλος

f_1 = Function(x^(3) - x^(2) + x - 1, -1, 2)
Β: (-1, f_1(-1))
Γ: (2, f_1(2))
f'_1 = Derivative(f_1)
t = -0.41 (slider from -1 to 2, step 0.0010)
Κ = (-1, 0)
Λ = (2, 0)
g = false
Ζ: (t, f_1(t))
b_1 = Tangent(Ζ, f_1)
εφω = Slope(b_1)
a_1 = Line(Ζ, yAxis)
Α = Intersect(xAxis, a_1)
Δ = Intersect(f_1, f'_1, 1)
Ε = Intersect(f_1, f'_1, 1)
Η = Intersect(f_1, f'_1)
Θ = Intersect(f'_1, a_1)
Ι = Point(b_1)
Μ = Point(b_1)
c = Segment(Ι, Μ)
d = Line(Ζ, xAxis)
Ν = Point(d)
ω = Angle(Ν, Ζ, Μ)
e = Segment(Θ, Ζ)
h = OrthogonalLine(Θ, yAxis)
Ξ = Intersect(h, yAxis)
u = Vector(Θ, Ξ)
κείμενο1: "f'(" + (x(Α)) + ")=εφω=εφ{" + ω + ")=" + εφω + ""
i = Segment(Θ, Ζ)
j = Segment(Κ, Β)
k = Segment(Γ, Λ)
f = If(-1 ≤ x ≤ 2, f_1)
κείμενο4 = LaTeX(f, true, true)
f' = Derivative(f)
κείμενο2 = LaTeX(f', true, true)
Ο: (-1, f'(-1))
O = Intersect(xAxis, yAxis)
a = 0.07 (slider from 0 to 1, step 0.0010)
b = 0.073 (slider from 0 to 1, step 0.0010)