TD 1 Analyse dimensionelle et ordres de grandeurs Cinématique

~g
?

m
l
l2l nl
?
?
?240
Na= 6,02.1023 Mcraie '
20 −1
210 = 1024 '103

x
•xn
•1
xnx−n
•√x x1/2
•ln(4x+ 3)
•exp(−2x+ 3)
•cos(4x−2)
?
f
x
f0(x) = lim
h→0
f(x+h)−f(x)
h
h→0
f
x
f0(x) = df
dx
df dx
?
sin(x) cos(x)
sin(a+b) = sin(a) cos(b) + sin(b) cos(a) cos(a+b) = cos(a) cos(b)−
sin(a) sin(b)

φ π
x y t
f(x) = exx
g(t) = et+φt
h(t) = π3φ+4tt
k(x, t) = xyt+φx
t
df dg
R5
0x2dx
Rπ
0sin(ωt)dt
R0
−3
2p(2x+ 3) dx
?R100
0
x
ln(x)dy
?Re
0ln(S)dS

m vecg
l
m v0α
y0
~g
x
y