$g(x) =$

x-Linien anzeigen

Ableitungsfunktion

f'

Kontrolle - Tangentensteigungen

f(x) = (ℯ^(0.5))^(x)
Eingabefeld2 = Textfield(f)
P_1 = Point(f)
P_2 = Point(f)
P_3 = Point(f)
P_4 = Point(f)
P_5 = Point(f)
P_6 = Point(f)
Tangentenschnipsellänge = 1 (slider from 0 to 4, step 0.1)
k_1 = Circle(P_1, Tangentenschnipsellänge / 2)
k_2 = Circle(P_2, Tangentenschnipsellänge / 2)
k_3 = Circle(P_3, Tangentenschnipsellänge / 2)
k_4 = Circle(P_4, Tangentenschnipsellänge / 2)
k_5 = Circle(P_5, Tangentenschnipsellänge / 2)
k_6 = Circle(P_6, Tangentenschnipsellänge / 2)
Q_1 = Point(k_1)
Q_2 = Point(k_2)
Q_3 = Point(k_3)
Q_4 = Point(k_4)
Q_5 = Point(k_5)
Q_6 = Point(k_6)
g_1 = Line(Q_1, P_1)
g_2 = Line(Q_2, P_2)
g_3 = Line(Q_3, P_3)
g_4 = Line(Q_4, P_4)
g_5 = Line(Q_5, P_5)
g_6 = Line(Q_6, P_6)
f'(x) = f'(x)
t2(x) = (f'(2) * (x - 2)) + f(2)
S_3 = Intersect(t2, k_3, 2)
S_4 = Intersect(k_4, g_4, 2)
S_5 = Intersect(k_5, g_5, 2)
S_6 = Intersect(k_6, g_6, 2)
t0(x) = (f'(0) * (x - 0)) + f(0)
S_1 = Intersect(t0, k_1, 2)
t_4 = Segment(Q_4, S_4)
t_5 = Segment(Q_5, S_5)
t_6 = Segment(Q_6, S_6)
M_4: (x(P_4), Slope[g_4])
M_5: (x(P_5), Slope[g_5])
M_6: (x(P_6), Slope[g_6])
gl1: x = x(P_1)
gl2: x = x(P_2)
gl3: x = x(P_3)
gl4: x = x(P_4)
gl5: x = x(P_5)
gl6: x = x(P_6)
a = false
b = true
M1 = NaN
M2 = NaN
c = 0.5 (slider from -3 to 3, step 0.01)
f1(x) = (c * f(x))
Text2: "m = " + (Slope[g_3]) + ""
kP: (0.1, -0.10)
d = true
g1 = 1 (slider from -5 to 5, step 0.1)
t1(x) = (f'(g1) * (x - g1)) + f(g1)
S_2 = Intersect(t1, k_2, 2)
M_1: (x(P_1), Slope[t0])
M_2: (x(P_2), Slope[t1])
M_3: (x(P_3), Slope[t2])
S11 = Intersect(t0, k_1, 1)
s_1 = Segment(S11, S_1)
Text4: "m = " + (Slope[t0]) + ""
gt1 = 1 (slider from -5 to 5, step 0.1)
S21 = Intersect(t1, k_2, 1)
S31 = Intersect(t2, k_3, 1)
s_2 = Segment(S21, S_2)
s_3 = Segment(S31, S_3)
Text3: "m = " + (Slope[t1]) + ""
Text1: "g'(x) = " + (LaTeX[c]) + " \cdot " + (LaTeX[f]) + ""