FÓRMULAS DE DERIVACIÓN 1. w dx d v dx d u dx d wvu dx d − +

FÓRMULAS DE DERIVACIÓN
d
d
d
d
1.
( u + v − w) = u + v − w
d
d
dx
dx
dx
dx
16.
(cos v ) = − senv v
dx
dx
d
d
2.
cv = c v
d
d
dx
dx
17.
(tgv) = sec 2 v v
dx
dx
d n
3.
x = nx n −1
d
d
dx
18.
(ctgv ) = − csc 2 v v
dx
dx
d
4.
x =1
d
d
dx
19.
(sec v ) = sec v·tgv v
dx
dx
d
5.
c=0
d
d
dx
20.
(csc v ) = − csc v·ctgv v
dx
dx
d n
d
6. v = nv n −1
v
d
dx
dx
v
d
dx
21.
(arc·senv ) =
d
d
d
dx
1− v2
7.
uv = u v + v u
dx
dx
dx
d
v
d
d
d
22.
v u−u v
(arc·cosv ) = − dx 2
d ⎛u⎞
dx
dx
dx
1− v
8.
⎜ ⎟=
dx ⎝ v ⎠
v2
d
v
d
d
dx
u
23.
(arc·tgv) =
d ⎛u⎞
dx
1+ v2
9. ⎜ ⎟ = dx
dx ⎝ c ⎠
c
d
v
d
d
dx
24.
(
arc
·
ctgv
)
=
−
v
d
dx
1+ v2
10.
(ln v ) = dx = 1 d v
dx
v
v dx
d
v
d
d
log e d
dx
25.
(
arc
·sec
v
)
=
11.
(log v ) =
v
dx
dx
v dx
v v2 −1
12.
13.
d v
d
(
a ) = a v ln a v
dx
dx
d v
d
(
e ) = ev v
dx
dx
d
v
d
dx
26.
(arc·cscv ) = −
dx
v v2 −1
Elaboró: Ing. Venustiano Martínez Lucas
d v
d
d
14.
(
u ) = vu v −1 u + ln u·u v v
dx
dx
dx
15.
d
(senv ) = cos v d v
dx
dx