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Mostrar puntos de inflexión

Monotonía y curvatura

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Punto de inflexión

e = -0.9999999999999999 (slider from -5 to 5, step 0.1)
d = 1 (slider from -5 to 5, step 0.01)
c = 1 (slider from -3 to 3, step 0.01)
b = -0.75 (slider from -2 to 2, step 0.01)
a = 0.1 (slider from -1 to 1, step 0.01)
f(x) = (a * x^(4)) + (b * x^(3)) + (c * x^(2)) + (d * x) + e
f''(x) = f''(x)
lista2: {Intersect[f'', y = 0]}
f'(x) = f'(x)
B: (x(Element[lista2, 2]), f(x(Element[lista2, 2])))
A: (x(Element[lista2, 1]), f(x(Element[lista2, 1])))
r = Line(A, B)
C = Intersect(f, r, 1)
D = Intersect(f, r, 4)
AB = Distance(A, B)
BD = Distance(B, D)
aureo: AB / BD
P = Point(f)
g = Tangent(P, f)
h = Segment(A, B)
i = Segment(B, D)
j = Segment(C, A)
E = Intersect(f'', xAxis, 1)
k = Segment(A, E)
F = Point(lista2)
l = Segment(B, F)
lista1: {Intersect[f', y = 0]}
lista0: {Intersect[f, y = 0]}
texto6 = LaTeX(f, true, true)
relacion: false
segmentos: false
inflexion = false
monotonia = false
q: segmentos ≟ false
s: segmentos ≟ false
t: segmentos ≟ false
u: segmentos ≟ false
v: segmentos ≟ false
w: segmentos ≟ false
texto7: "AB=" + AB + ""
AC = Distance(A, C)
texto9: "BD=" + BD + ""
texto8: "AC=" + AC + ""
m = Slope(g)
n = false
texto13: "P" + P + ""
texto5: "\frac{AB}{AC}=\frac{AB}{BD}=\frac{" + (LaTeX[AB]) + "}{" + (LaTeX[BD]) + "}=" + (LaTeX[AB / BD]) + "=\Phi"