Fisica

01
d (c ) = 0 dx
02
d(x) = 1 dx
03
d (c ⋅ v ) = c ⋅ d (v ) dx dx
04
d (u + v − w ) = d (u ) + d (v ) − d (w) dx dx dx dx
05
d (u ⋅ v ) = u ⋅ d (v ) + v ⋅ d (u ) dx dx dx
06
d(un)=n⋅un−1 ⋅d(u) dx dx
07
d(xn )= n⋅xn−1 dx
08
d(u) d(v) dx v2
⎛u⎞
d⎜⎝v⎟⎠=v⋅ dx −u⋅ dx
09
⎛u⎞
d⎜⎝c⎟⎠ ⎛1⎞d(u)
dx =⎜⎝c⎟⎠⋅dx
10
⎛c⎞
d ⎜⎝ u ⎟⎠ ⎛ c ⎞d ( u ) dx =−⎜⎝u2⎟⎠⋅dx
11
d(u) d(u)
d( u)
n = dx ó dx
dx n⋅un−1n n⋅n un−1
12
d(ln⋅u)= 1⋅d(u) dx udx
13d(ln⋅x)= 1 dx x
14
d(log⋅u)= log⋅e⋅d(u) dx u dx
15
d(log⋅x)= log⋅e dx x
16
d(av)=av ⋅ln⋅a⋅d(v) dx dx
17d(ax)=ax ⋅ln⋅a dx
18
d(ev)=ev ⋅d(v) dx dx
19
d (e x ) = e x dx
20
d(uv )=v⋅uv−1 ⋅d(u)+uv ⋅ln⋅u⋅d(v) dx dx dx
21
d(sen⋅ u) = cos⋅ u ⋅ d (u) dx dx
22
d(cos⋅u)= −sen⋅u⋅ d(u) dx dx
23
d (tg⋅ u) = sec 2 ⋅ u ⋅ d (u) dx dx
24
d(c tg⋅ u) = − csc 2 ⋅ u ⋅ d (u) dx dx
25
d (sec⋅ u) = sec⋅ u ⋅ tg⋅ u ⋅ d (u) dx dx
26
d (csc⋅ u) = − csc⋅ u ⋅ ctg⋅ u ⋅ d (u) dx dx
27
d(arc⋅sen⋅u)= dx
d(u) dx
1−u2
28
d(arc⋅cos⋅u)= − dx
d(u) dx
1−u2
29
d(arc⋅tg⋅u)d(u) = dx
dx 1+u2
30
d(arc⋅ctg⋅u) d(u) =− dx
dx 1+u2

d(arc⋅sec⋅u) d(u) dx = dx

d(arc⋅csc⋅u) d(u) dx =− dx