Matemaatika valemid
X 0
x 0 x
+
X =R
-
X
X = a > 1
X 0 < a <1
läbib alati (0;1) ja (1;a)
Logaritmfunkstioon
c`= 0
( ax +b)´= a
y´= x´=1
( x 2 )´= 2 x
1 1
´= - 2
x x
( )
x ´=
1
2 x
k = A´( x )
[u ( x) ±v( x )]´=u´(x) ±v´(x)
[c u ( x)]´= c u´( x)
(uv )´= u´v +v´u
( x n )´= nx n -1
u u´v -v´u
=
v v2
F ´(x ) = ´(u ) g´(x )
1
g´( x ) =
f [´g ( x ) ]
( x )´=
n 1
n n x n -1
( x q )´= q x q -1
(sin x )´= cos x
(cos x )´= -sin x
1
(tan x )´=