Bewege Q mit den Pfeiltasten

a^x

b^x

\frac{a^x}{x}

\frac{b^x}{x}

\frac{a^x}{x}-\frac{b^x}{x}

q(x) = x
Q = Point(xAxis)
i = OrthogonalLine(Q, xAxis)
b = 3.2 (slider from 0 to 5, step 0.1)
p(x) = b^(x)
s(x) = p(x) / q(x)
B = Intersect(s, i, (1.4, 3.6398369879176897))
g(x) = x
a = 2 (slider from -5 to 5)
h(x) = a^(x)
f(x) = h(x) / g(x)
A = Intersect(f, i, (1.4, 1.8850113011041347))
j = Segment(A, B)
D: (x(Q), (-j))
d(x) = f(x) - s(x)
C = Intersect(f, s, (-1.6199999999999948, -0.20082436040770718))
D_1 = Intersect(s, f, (-1.4399999999999953, -0.25594951689081785))
k = Segment(D, Q)
E = (4.136, 1.416)
F = (5.376, 1.416)
H: (0, ln(a) - ln(b))
O: (0, 0)
l = Segment(O, H)