Nombre dérivé
Author: Pascal Asmussen
Date: 12 Avril 2013

Pointeur

R à Z

Cacher T

Cacher Coeff

Cacher Nbr dérivé

Activer trace

trace H

Stop !

Cacher  skieur

Lien entre f et f '

f '(x) +k

cacher skieur

Reset

Afficher pointeur

Pascal  \; Asmussen

\shadowbox{Nombre \;  dérivé}

Montrer décor

bulle

décalage = -1.8 (slider from -5 to 5, step 0.1)
f(x) = (1.5 * sin((-0.19043 * x))) - (0.5 * cos(((3 * (-0.19043)) * x))) + (0.3 * sin(((5 * (-0.19043)) * x))) - (0.4 * cos(((-7 * (-0.19043)) * x))) - 2.86023 + décalage
w1 = 0.19
x_0 = -3.35 (slider from -10 to 10, step 0.05)
M: (x_0, f(x_0))
T = Tangent(M, f)
a_1 = Slope(T)
B: (x_0 + 1, f(x_0 + 1))
b = OrthogonalLine(B, xAxis)
C = Intersect(b, T)
k_1 = 0.6 (slider from -5 to 5, step 0.1)
f_1 = Derivative(f)
A_1: M - (k_1 * (1, f'(x_0)) / sqrt(1 + f'(x_0)^(2)))
D: M + (k_1 * (1, f'(x_0)) / sqrt(1 + f'(x_0)^(2)))
F_1: (x_0, 0)
G: C + (0, (-a_1))
c = Segment(G, C)
H: F_1 + (0, a_1)
d = Segment(F_1, H)
T4: "a = " + a_1 + ""
texte5: "x_0 = " + x_0 + ""
T6: "x_0 = " + x_0 + ""
e = Segment(F_1, M)
F = (6.182928226657312, -4.789220013516091)
n = OrthogonalLine(F, yAxis)
m = OrthogonalLine(F, xAxis)
i = true
a = false
h = false
skieur: true
A = (2.2689359284982995, -2.880735593593633)
j = OrthogonalLine(A, xAxis)
k = OrthogonalLine(A, j)
l = Segment(C, M)
J = (-8.0600180586066, -8.08758652168248)
K: J + (2, 0)
L = (-5.948408874313031, -7.278098587527503)
N = (-2.2675367217609064, -6.493017464081068)
u = Vector(L, N)
image31 = Translate(image3, u)
O = (-0.7231148395712041, -7.780035699239158)
P = (1.9796234542607751, -8.269102628599232)
v = Vector(O, P)
image32 = Translate(image31, v)
Q = (1.0529703249469538, -7.4968916875043785)
R = (5.51892360094551, -8.539376457982431)
w = Vector(Q, R)
image6 = Translate(image32, w)
S = (6.625759283181464, -8.475025546224527)
U = (9.830434688725097, -8.732429193256145)
z = Vector(S, U)
image61 = Translate(image6, z)
V = (8.491935724160687, -8.294842993302394)
W = (14.965637447005856, -8.307713175653975)
p = Vector(V, W)
image62 = Translate(image61, p)
c_1 = 0
f_2(x) = 10
I: M + (0.5, 0.5)
B_1: I + (0, 0.3)
C_1 = (7.515416966936104, -0.0622882196449035)
Z: I + (4, 0)
g = false
o = Integral(f, -20, 30)
q = Integral(f_2, -20, 30)