1. L =f(x), (,f()) . , .
2. =0 =f(x), lim f (x) ( ) ∞. x→x00
3. y=b , lim f(x)=b
x→∞
lim f(x)=b, y=b- ,
x→+∞
lim f(x)=b, y=b- .
x→-∞
4. .
1.
2. -
3.
4. ;
5.
6.
7. .
8. .
() , .
() = D(x) C(x), D(x)- .
() ()/. ()='().
, () .
8.
7-8. . .
1. 7
2. 1) . .
2) . .
3) .
4) .
.
1. ∆ =f(x) :
∆= f'(x) ∆x + a (∆x) ∆x, ∆x- .
2. =f(x) , ∆x , :
Dy= f'(x) ∆x/
: dx=∆x/
:
1. dc=0, c- const.
2. d(uv)=dudv.
3. d(u/v)=vdu-udv/v2.
4. d(cu)=c du.
5. d(uv)=v du + u dv.
6. dy=f'(u)du.
9. .