$f(x) = e^x$

P

Q

f(x) = e^x

strecken / stauchen

Neustart

$g(x) = e^{kx}$

$\overline{f}(x) = e^{-x}$

k = 0.5 (slider from -5 to 5, step 0.1)
f(x) = ℯ^(x)
X0 = Point(xAxis)
x0: x(X0)
k0 = 1 (slider from 1 to 11, step 1)
kmin = If(k > 0, If[k > 1, 1, k], If[k > -1, -1, k])
kmax = If(k > 0, If[k > 1, k, 1], If[k > -1, k, -1])
diff: (kmax - kmin) / 10
k1 = If(k ≥ 1, kmin + ((k0 - 1) * diff), kmax - ((k0 - 1) * diff))
k2 = If(k > -1, kmin + ((k0 - 1) * diff), kmax - ((k0 - 1) * diff))
x1 = If(k > 0, x0 / k1, x0 / k2)
X1: (x1, 0)
P0: (x0, f(x0))
P1: (x1, f(x0))
Y0: (0, f(x0))
u = Vector(Y0, P1)
v = Vector(Y0, P0)
L = -3 (slider from -5 to 5, step 0.1)
g1(x) = ℯ^((k1 * x))
Text3: "k = " + k1 + ""
h(x) = ℯ^((k * x))
g2(x) = ℯ^((k2 * x))
f2(x) = ℯ^((-x))
Text2: "g(x) = e^{" + (LaTeX[k]) + "x}"
k3 = If(k > 0, k1, k2)
Text4: "k = " + k3 + ""
U2 = NaN
O2 = NaN
R = 1 (slider from -5 to 5, step 0.1)