\frac{a^x}{x}

b=a^{-1}

\frac{a^{-1}}{x}

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

Bewege Q mit den Pfeiltasten

a^x

a^{-x}

a = 2 (slider from -5 to 5)
q(x) = x
Q = Point(xAxis)
i = OrthogonalLine(Q, xAxis)
b: 1 / a
p(x) = b^(x)
s(x) = p(x) / q(x)
B = Intersect(s, i, (-0.9, -2.073406647859572))
g(x) = x
h(x) = a^(x)
f(x) = h(x) / g(x)
A = Intersect(f, i, (-0.9, -0.5954297014090517))
j = Segment(A, B)
D: (x(Q), j)
d(x) = f(x) - s(x)
C = Intersect(f, s, (-1.6199999999999948, -0.6172839506172859))
D_1 = Intersect(s, f, (-1.4399999999999953, -0.6944444444444468))
k = Segment(D, Q)
E = (2.048, -3.116)
F = (3.748, -3.116)
G = Intersect(d, yAxis, (-1.7053025658242343E-15, 0.6599999999999974))
H: (0, (2 * ln(a)))
O: (0, 0)
l = Segment(H, O)