1. .
2. .
3. .
4. , .
5. .
6. .
7. , , , .
.
9. = .
. 1) .
, 1 = 2 2 = 2, ( 2 4 = 0).
2) -.
, .. (-) = = (). .
3) .
. 1 = 2 2 = 2.
.
, .
, .
, = 2 = 2 .
4) .
: . ( y = kx +b) , : y = 0 x + 1, .. = 1.
5) .
= ( = 0) = 0 = 2. = 0 (.. = 2 ). x < 0 f(x) > 0, x > 0 f(x) < 0, = 0 f m (x) = = 1.
(-∞; -2) (-2; 0) y' +
, -2 0 2 x
(0; 2) (2; +∞) .
6) .
= . , = 0 , . (-2 2) , .
(-∞; -2) (2; +∞) y + +
, -2 2 x
(-2; 2) . y
7) .
f(0) = = 1, .. (0; -1). f() = 0, (.. = 0), , , .
8) .
-2 2
-1
.10.
y = f(x) Î .
|
|
() , Dx 0.
.
.. Dy 2 : 1) Dx; 2) ( , Dx)
. , Dx , (1)
: dx = Dx
(.. = : ).
(1) (2)
=> (.. ).
9. = 6 2 3.
. ¢ = 12 (2): .
: , y = f(x) , Dx.
dy = KN, Dy = M1N.
dy < Dy dy > Dy
(1-5 ):
1. d = 0.
2. d(u) = du.
3. d(u v) = du dv.
4. d(uv) = vdu + udv.
5. .
6. (.. ) () . .
,
.. , .
10.2.
, . Dx D dy .
(3)
10. , , tg 460.
. (3).
f(x) = tgx. f(x) =(tgx) = . . , tg 460 = tg (450 + 10) = tg , = Δ = .
tg 460 = tg .
11. ,
. n - :
,
x =16; Dx =0,64;