4 TU = TU(Q).
, Q0 % # , -
∆Q – # . * ∆TU = TU(Q0 + ∆Q) – TU(Q0)
– , “ ” ∆Q. ,
# (# ) #-
% ∆TU / ∆Q. 5 #, #, -
∆Q. 0- ∆Q → 0,
MU:
MU=dTU . dQ
5 %, - 8 & &($ " + )# * & &- ( TU(Q). 5 8 & &(, 2 #7#" 3, ( -
% Q. & %
TU(Q). ' -
% ( % .
, -
#. 5 # # -
# #:
|
n |
C |
|
|
M |
|
|
P = |
+ |
|
, |
|
(1 + r)t |
(1 |
+ r)n |
|
t=1 |
|
|
- – ; – ( 2); . – -
; r – (# #
2); – (; t – .
0- , % # #-
#, # # ( . # ( ( ( , -
:
|
|
1C |
|
2C |
|
nC |
nM |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
-*- / ! = |
(1 + y)1 |
+ (1 + y)2 |
+ + (1 + y)n + |
(1 + y)n |
|
|
|
P . |
$ – #,
% , (
, ).
3.46.&( ''-( ! 7 &!
# Maxima - % diff, % : , -
, % . 0- #
, #, %
ratsimp. < - , trig-
simp. %, - : -
(sin x), (cos x), (tan x), (cot x),
(asin x), (acos x), (atan x), (acot x).
% ( – (sec x = 1/cos x) (csc x = 1/sin x), # – # (sinh x), #-
(cosh x), # (tan x), # -
(cot x).
!
# ` : u = (2x2 − 7)ln (x − 1).
Maxima -
% taylor, % : ;
; # % ,; (
.
!
& ex ,
x=1, # n = 4.
1.) *. (+ 30 ). %. . ,.'. . - . 3- . – '.: *, – 1975. – .. 20.
2.+/ 0. $ 0 -
/ . 1.2.3. – '.: 41-.-, 2001. – 471 .
3.). .. ! -
. '.: «1», 1977.
4.5.,. 6 " "" -
. , . 1$:
, 2002. – 19 .
5.+. ., 4 (.(. + # : 1. . –3.: ,. .3., 2001.– 648 .
6.- +.,., &.%. 7 . '.: 1, 1984.
7.3 ,.1. 3 0.– '.: - -
.– ', 1997.
8.3 7.,. / / . / 8-
/ /. – '.: +/ . – 1994. – 202 .
9.-.+. . '.: «1», 1984.
10.9 +. . +/ : $ . . . ./
. ,. ,.1.. . – '.: +/ . .. 1990. – 479 .
,
,
’
-
07.12.2008. 30 ! 42/4.
". # ". . . . 9,9.
.- . . 9,9. $% 500 . &. '
. ( ) % * )+ ' 1842.
49005, . ), . +. , 19.