Exponencial

Exponencial

Racional

Racional

Trigonométrica

Trigonométrica

Polinòmica

Polinómica

Radical

Radical

Logística

Logística

Ver las pendientes

Ocultar las  pendientes

Representar func. derivada

Ocultar func. derivada

e = -4.308 (slider from -8 to 22, step 0.001)
n = 1 (slider from 1 to 6, step 1)
S4_1 = (-7, 16)
S4_2 = (-2, 16)
s_4 = Segment(S4_1, S4_2)
C3_4 = Point(s_4)
c3_4: (2 * x(C3_4)) + 9
C4_4 = Point(s_4)
c4_4: (2 * x(C4_4)) + 9
C5_4 = Point(s_4)
c5_4: (2 * x(C5_4)) + 9
S5_1 = (-7, 15)
S5_2 = (-2, 15)
s_5 = Segment(S5_1, S5_2)
C3_5 = Point(s_5)
c3_5: (2 * x(C3_5)) + 9
S6_1 = (-7, 14)
S6_2 = (-2, 14)
s_6 = Segment(S6_1, S6_2)
C3_6 = Point(s_6)
c3_6: (2 * x(C3_6)) + 9
S7_1 = (-7, 13)
S7_2 = (-2, 13)
s_7 = Segment(S7_1, S7_2)
C3_7 = Point(s_7)
c3_7: (2 * x(C3_7)) + 9
S1_1 = (-7, 19)
S1_2 = (-2, 19)
s_1 = Segment(S1_1, S1_2)
C2_1 = Point(s_1)
c2_1: (4 * x(C2_1)) + 23
C3_1 = Point(s_1)
c3_1: (2 * x(C3_1)) + 9
C4_1 = Point(s_1)
c4_1: (2 * x(C4_1)) + 9
C5_1 = Point(s_1)
c5_1: (2 * x(C5_1)) + 9
C1_1 = Point(s_1)
c1_1: (2 * x(C1_1)) + 9
S2_1 = (-6.918107965670723, 11.018781882993887)
S2_2 = (-1.918107965670723, 11.018781882993887)
s_2 = Segment(S2_1, S2_2)
C2_2 = Point(s_2)
c2_2: (6 * x(C2_2)) + 37
C3_2 = Point(s_2)
c3_2: (2 * x(C3_2)) + 9
C4_2 = Point(s_2)
c4_2: (2 * x(C4_2)) + 9
C5_2 = Point(s_2)
c5_2: (2 * x(C5_2)) + 9
C1_2 = Point(s_2)
c1_2: (2 * x(C1_2)) + 9
S3_1 = (-7, 17)
S3_2 = (-2, 17)
s_3 = Segment(S3_1, S3_2)
C2_3 = Point(s_3)
c2_3: (2 * x(C2_3)) + 9
C3_3 = Point(s_3)
c3_3: (2 * x(C3_3)) + 9
C4_3 = Point(s_3)
c4_3: (2 * x(C4_3)) + 9
C5_3 = Point(s_3)
c5_3: (2 * x(C5_3)) + 9
f2(x) = ((2 * x)) / (x - 5)
f3(x) = ((x * sin(x))) / 4 + 4
f4(x) = (0.05 * x^(3)) - (0.5 * x^(2)) + 5
f5(x) = (2 * sqrt((2 * x) + 4)) + 1
f6(x) = 10 / (1 + (5 * ℯ^((-x))))
C1_3 = Point(s_3)
c1_3: (2 * x(C1_3)) + 9
A = (-6, 0)
B = (-2, 0)
a = Ray(A, B)
Rojo = Point(a)
f1(x) = (3 * 1.2^(x)) + 1
f = If(n ≟ 1, f1, If[n ≟ 2, f2, If[n ≟ 3, f3, If[n ≟ 4, f4, If[n ≟ 5, f5, f6]]]])
xj: x(Rojo)
e_1 = Tangent((xj, f(xj)), f)
c = UnitVector(e_1)
tiempo = 30.54928301752887
Azul: (e, 0)
xc: x(Azul)
Azul_1: (xc, f(xc))
g = Tangent(Azul_1, f)
w = UnitVector(g)
S8_2 = (0.09018506497189127, -3.258350974294802)
S8_1 = (-4.909814935028107, -3.258350974294802)
s: (1.9 * UnitVector[g])
Azul_2: Azul_1 - s
u_g: (4 * UnitVector[g])
t = OrthogonalLine(Rojo, xAxis)
h_1 = Slope(e_1)
tiempo2: x(Rojo)
e_2(x) = (h_1 * (x - x(Rojo))) + f(x(Rojo))
m3 = If(abs(h_1) ≥ 0, 1 / sqrt(1 + (h_1 * h_1)), 1)
h_2 = Slope(g)
m2 = If(abs(h_2) ≥ 0, 1 / sqrt(1 + (h_2 * h_2)), 1)
d = OrthogonalLine(Azul_1, g)
Verde_1 = If(xc > xj, (e, e_2(e)))
l_1 = OrthogonalLine(Verde_1, e_1)
T1: "y  = " + f
m: 1.9 / sqrt(1 + (h_1 * h_1))
Verde_2: Verde_1 - (m * (1, h_1))
i_1 = OrthogonalLine(Rojo, xAxis)
R1 = (-1.8, 19)
T3: c1_1 + ""
R2 = (-1.8, 18)
R3 = (-1.8, 17)
R4 = (-1.8, 16)
R5 = (-1.8, 15)
R6 = (-1.8, 14)
R7 = (-1.8, 13)
T4: c1_2 + ""
T5: c1_3 + ""
elegida = 1
R2_1 = If(elegida ≟ 2, R1, R1 + ((-100), 0))
R2_2 = If(elegida ≟ 2, R2, R2 + ((-100), 0))
R2_3 = If(elegida ≟ 2, R3, R3 + ((-100), 0))
R1_1 = If(elegida ≟ 1, R1, R1 + ((-100), 0))
R1_2 = If(elegida ≟ 1, R2, R2 + ((-100), 0))
R1_3 = If(elegida ≟ 1, R3, R3 + ((-100), 0))
R3_1 = If(elegida ≟ 3, R1, R1 + ((-100), 0))
R3_2 = If(elegida ≟ 3, R2, R2 + ((-100), 0))
R3_3 = If(elegida ≟ 3, R3, R3 + ((-100), 0))
R3_4 = If(elegida ≟ 3, R4, R4 + ((-100), 0))
R3_5 = If(elegida ≟ 3, R5, R5 + ((-100), 0))
R3_6 = If(elegida ≟ 3, R6, R6 + ((-100), 0))
R3_7 = If(elegida ≟ 3, R7, R7 + ((-100), 0))
R4_1 = If(elegida ≟ 4, R1, R1 + ((-100), 0))
R4_2 = If(elegida ≟ 4, R2, R2 + ((-100), 0))
R4_3 = If(elegida ≟ 4, R3, R3 + ((-100), 0))
R4_4 = If(elegida ≟ 4, R4, R4 + ((-100), 0))
R5_1 = If(elegida ≟ 5, R1, R1 + ((-100), 0))
R5_2 = If(elegida ≟ 5, R2, R2 + ((-100), 0))
R5_3 = If(elegida ≟ 5, R3, R3 + ((-100), 0))
R5_4 = If(elegida ≟ 5, R4, R4 + ((-100), 0))
T6: c2_1 + ""
T7: c2_2 + ""
T8: c2_3 + ""
T9: c3_1 + ""
T10: c3_2 + ""
T11: c3_3 + ""
T12: c3_4 + ""
T13: c3_5 + ""
T14: c3_6 + ""
T15: c3_7 + ""
T16: c4_1 + ""
T17: c4_2 + ""
T18: c4_3 + ""
T19: c4_4 + ""
T20: c5_1 + ""
T21: c5_2 + ""
T22: c5_3 + ""
T23: c5_4 + ""
PL_1 = (-10, 22)
PL_2 = (0, 22)
PL_3 = (0, 11)
PL_4 = (-10, 11)
PL, pl_1, pl_2, pl_3, pl_4 = Polygon(PL_1, PL_2, PL_3, PL_4)
PO_1 = (0, 18)
PO_2 = (0, 22)
PO_3 = (44, 22)
PO_4 = (44, 18)
PO, po_1, po_2, po_3, po_4 = Polygon(PO_1, PO_2, PO_3, PO_4)
s_8 = Segment(S8_1, S8_2)
v = Point(s_8)
velocidad: ((9 * x(v)) + 68) / 5
T24: velocidad + ""
R8 = (-1.8, 12)
Azul_3: Azul_1 + u_g
Azul_4: Azul_2 - u_g
u: ((y(w), (-x(w))) * 0.4)
z: ((y(c), (-x(c))) * 0.4)
v_g = Segment(Azul_4, Azul_3)
b = UnitVector(g)
fd = Derivative(f)
vel = 0 (slider from 0 to 2, step 0.1)
Verde1_X: (e, 0)
tg_1 = Tangent((x(Rojo), f(x(Rojo))), f)
texto1: "y= " + (LaTeX[f]) + ""
pe = 0 (slider from 0 to 1, step 1)
gd(x) = If[-8 ≤ x ≤ e, fd]
h = OrthogonalLine(Azul, xAxis)
C = Intersect(gd, h, (-4.308, 0.24937129881774678))
i = Segment(Azul, C)
pf = 0 (slider from 0 to 1, step 1)