x_0+h

f(x_0)

f(x_0+h)

B

A

f(x) = (2 * sqrt(x)) + 1
A = Point(f)
B = Point(f)
b = Tangent(A, f)
a = Line(A, B)
c = OrthogonalLine(B, xAxis)
e = OrthogonalLine(A, xAxis)
H = Intersect(e, xAxis)
n = Segment(A, H)
g = OrthogonalLine(A, yAxis)
I = Intersect(g, yAxis)
i = Segment(A, I)
G = Intersect(c, xAxis)
C = Intersect(c, g)
d = Segment(C, G)
j = Segment(B, C)
k = Segment(A, C)
l = OrthogonalLine(B, yAxis)
K = Point(l)
D = Intersect(l, yAxis)
m = Segment(D, B)
h: x(G) - x(H)
delta_f: y(D) - y(I)
testo5: "h=" + (LaTeX[h]) + ""
testo6: "\Delta f=f(x_0+h)-f(x_0)=" + (LaTeX[delta_f]) + ""
rappincr: delta_f / h
o = Derivative(f, x(H))
deriv_f: o(x(H))
x_0: x(H)
testo1: "x_0=" + (LaTeX[x_0]) + ""
testo8: "Spostando\ i\ punti \ A \ o \ B\ confronta\ i\ valori \\ del\  RAPPORTO\ INCREMENTALE  \frac{\Delta f}{h}\ con\\la\ DERIVATA\\
f'(x_0)=\lim_{x→x_0}\frac{f(x_0+h)-f(x_0)}{h}=\lim_{x→x_0}\frac{\Delta f}{h}=" + (LaTeX[deriv_f]) + "  \\
x_0=" + (LaTeX[x_0]) + "\\ h=" + (LaTeX[h]) + "  \\ \Delta f=" + (LaTeX[delta_f]) + " \\ \frac{\Delta f}{h}=" + (LaTeX[rappincr]) + " \\"