Jojojo

Formulas para integrarFunciones exponencial
b
m
*b
n
= b
m+n
b
m
/b
n
= b
m-n
(b
m
)
n
= b
m* n
(b
m
* c
m) = (b*c)
m
(b/c)
n
= b
n
/c
n
b
0
=1b
m/n
=
n
b
m
= (
n
b )
m
b
-n
=1/b
n
Formulas para derivaridentidades trigonometricas

1.
d(a)= 0 sen
2
x + cos
2
x = 1sen2x = 2sen x cosx
2.
d(x+y+z)=dx+dy+dz sen
2
x= 1/2(1-cos2x)cos
2x=1/2 (1+cos2x)
3.
d(ax)=a dx tag
2
x=sec
2
x-1ctg
2
x = csc
2
x-1
4.
d(x*y)=x dy +y dx tanx= senx / cosxctg x = cosx/ senx
5.
d(x
n
) = nx
n-1
dx tan x = 1 /ctgxctg x = 1/tanx
6.
d(x/y)= (ydx-xdy)/y
2
senx = 1/csc xcosx =1/secx7.d(x/a)=dx/ateorema de las funciones log8.d(logx) = dx/xlog b(M*N) = log b
m
+ logb
n
9.
d(a
x
)= a
x
loga dxlog b (m/n) = log bm
– log b
n
10.
d(e
x
)= e
x
dxlog b m
n
= n log bm11.d(senx)= cosx dxlog b m
n
≠ (log bm)
n
12.d(cosx)= -senx dx13.
d(tanx)= sec
2
x dx
14.
d(ctg x)= -csc
2
x dx15.d(secx)= (secx*tanx)dx16.d(cscx)= (cscx*ctgx)dx
17.
d(sen
-1
x)=dx/1-x
2
18.
d(cos
-1
x)= -dx/ 1-x
2
19.
d(tan
-1
x)= dx/1+x
2
Funciones logarítmicasPropiedades de las funcioneslogarítmicas log 10
n
= log nLog b
b
= 1 Log b
0
= -∞o/n=0Log b
1
= 0 Log b∞ = ∞ n/0= ∞Log b
n
= n Log e = 1 log e
n
= log n