Παράγωγος - Κίνηση Αυτοκινήτου2
Author: Bouboulis Pantelis

Μετακινήστε τον δρομέα h και δείτε την ταχύτητα του αυτοκινήτου

h

f(x_0+h)-f(x_0)

f(x_0)

x_0

Μέση ταχύτητα μεταξύ των σημείων Α και Μ 

\frac{f(x_0+h) - f(x_0)}{h} = 

f(x_0+h)

x_0+h

f = If(0 ≤ x ≤ 8, x^(2) / 8, If[x ≤ 10, (-x^(2)) / 2 + 10 * x - 40])
M: (4, f(4))
h = 5.58 (slider from 0 to 6, step 0.01)
A: (x(M) + h, f(x(M) + h))
a = Segment(M, A)
b = OrthogonalLine(M, yAxis)
c = OrthogonalLine(A, yAxis)
d = OrthogonalLine(A, b)
B = Intersect(b, d)
e = Segment(M, B)
g = Segment(B, A)
i = OrthogonalLine(M, xAxis)
C = Intersect(yAxis, b)
D = Intersect(i, xAxis)
j = Segment(M, D)
k = Segment(M, C)
l = OrthogonalLine(A, yAxis)
E = Intersect(yAxis, l)
F = Intersect(d, g)
G = Intersect(xAxis, d)
m = Segment(B, G)
n = Segment(E, A)
v_m = If(h ≠ 0, (y(A) - y(B)) / h, 1)
κείμενο3: v_m + ""
p = Line(M, A)