E

f(x)=

x_0=

+

-

→

←

↓

↑

iterate

reset

n

x_n

find E

click near
equilibrium

center E

E = 0.3333333333333334
EP: (E, E)
center = (0.2, 0.21019)
f(x) = ((1.5 * x) * (1 - x))
foundequil = false
height = 0.3078632557772801
x0 = 0.1
x1 = 0.3333333333333334
X_{0} = Point(diagonal)
f' = Derivative(f)
fmx1: f(x1) - x1
fpmx1: f'(x1) - 1
maxx: x(center) + (height * x(Corner[1, 5]) / y(Corner[1, 5]))
maxy: height + y(center)
minx: x(center) - (height * x(Corner[1, 5]) / y(Corner[1, 5]))
n = 2
miny: y(center) - height
inputBox1 = Textfield(f)
inputBox2 = Textfield(x0)
list1 = IterationList(f, x0, n)
oncurves = Sequence((Element[list1, i], Element[list1, i + 1]), i, 1, n)
diagonals = Sequence((Element[list1, i], Element[list1, i]), i, 2, n)
vertsegs = Sequence(Segment[Element[diagonals, i - 1], Element[oncurves, i]], i, 2, n)
initialvert = Segment(X_{0}, (x0, f(x0)))
initialized = false
horizsegs = Sequence(Segment[Element[oncurves, i], Element[diagonals, i]], i, 1, n - 1)
A2 = 0
text1: "$ E=" + (LaTeX[E]) + "$"
B2: x0
slope: f'(x(EP))
tangent: y = y(EP) + (slope * (x - x(EP)))
text2: "$\text{slope}=" + (LaTeX[slope]) + "$"