Dérivation_exo39

a

a+h

f(a+h)

f(a)

temps (en s)

distance (en m)

f(x) = (880 * ℯ^((-(x / 15 - 2.4)^(2))))
A = Point(f)
B = Point(f)
g = Line(A, yAxis)
a_1 = Intersect(xAxis, g)
h = Line(A, xAxis)
i = Line(B, xAxis)
j = Line(B, yAxis)
E = Intersect(yAxis, j)
Z = Intersect(j, xAxis)
G = Intersect(i, h)
C = Intersect(yAxis, i)
H = Intersect(yAxis, h)
k = Segment(C, B)
l = Segment(B, Z)
m = Segment(H, A)
n = Segment(A, a_1)
p = Line(B, A)
D = Intersect(l, h)
q = Segment(A, D)
r = Segment(B, D)
a = Slope(p)
s = Line(A, B)
a_2 = Slope(s)
v: (a_2 * 18 / 5)
f_1(x) = If[0 < x ∧ x < 36, (880 * ℯ^((-(x / 15 - 2.4)^(2))))]
texte1: "\frac{f(a+h)-f(a)}{h} \approx " + (LaTeX[a_2]) + " m.s^{-1} \ soit " + (LaTeX[v]) + " km.h^{-1}"