$f(x) = e^x$

P

f(x) = e^x

strecken / stauchen

Neustart

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

$g(x) = a \cdot e^x$

Q

a = 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(a > 0, If[a > 1, 1, a], If[a > -1, -1, a])
kmax = If(a > 0, If[a > 1, a, 1], If[a > -1, a, -1])
diff: (kmax - kmin) / 10
k1 = If(a ≥ 1, kmin + ((k0 - 1) * diff), kmax - ((k0 - 1) * diff))
k2 = If(a > -1, kmin + ((k0 - 1) * diff), kmax - ((k0 - 1) * diff))
x1 = If(a > 0, x0 / k1, x0 / k2)
X1: (x1, 0)
P0: (x0, f(x0))
Y0: (0, f(x0))
v = Vector(Y0, P0)
L = -3 (slider from -5 to 5, step 0.1)
Text3: "k = " + k1 + ""
f2(x) = (-ℯ^(x))
h(x) = (a * ℯ^(x))
g1(x) = (k1 * ℯ^(x))
g2(x) = (k2 * ℯ^(x))
P1 = If(a > 0, (x0, g1(x0)), (x0, g2(x0)))
u = Vector(X0, P1)
U = -6 (slider from -10 to 5, step 0.1)
Text5: "a = " + k1 + ""
k = 1 (slider from -5 to 5, step 0.1)
k3 = If(a < 0, k2, k1)
Text4: "a = " + k3 + ""
Text2: "g(x) = " + (LaTeX[a]) + " \cdot e^{x}"
U2 = NaN
O2 = NaN
R = 1 (slider from -5 to 5, step 0.1)