Betrag der Abweichung auf dem Intervall [-1, 4]

d(x) = \;\mid f(x) - f'(x) \mid

Ableitung

Tangente

Steigungsdreieck

a = 1.75 (slider from 1 to 4, step 0.25)
f(x) = a^(x)
f'(x) = f'(x)
d = Function(abs(f(x) - f'(x)), -1, 4)
b = false
c = false
Stelle = 0 (slider from -2 to 5)
A: (Stelle, a^(Stelle))
B: (Stelle + 1, a^(Stelle))
g = Tangent(A, f)
h = Segment(A, B)
i = Line(B, yAxis)
C = Intersect(i, g)
D = Point(g)
E = Point(g)
j = Segment(B, C)
k = Segment(C, A)
l = Segment(D, A)
m = Segment(C, E)
F: (Stelle, 0)
n = Segment(A, F)
G = Intersect(f', n, (0, 0.5596157879354227))
p = Segment(G, F)
q = Segment(A, G)
Text3 = Text("1")
e = false
o = false
Text1: "f(x) = " + (LaTeX[a]) + "^x"