(a;b), . (a;b), .
.
: (a;b) , .. , . ;b) .
42. .
, , .
X0 y = f (x) X0 .
:
. y = f (x) (a, b). , (x0, f(x0)) y = f (x) , f " (x0) = 0.
:
. y = f (x) f "(x) x0 (a, b), , 0, = (0, f (x0)). 0 f "(x) , y = f (x).
:
1. x0, x0 - .
2. n x0 -
, n x0 .
, , . , , .
y=f(x) , lim (x→a) f(x)=∞ lim (x→a+0) f(x)=∞, lim (x→a-0) f(x)=∞.
y=f(x) x→+∞ y=kx+b, : 1) (a; +∞) D(f); 2) 0 x→+∞
y=f(x) x→ - ∞ y=kx+b, : 1) (-∞; a) D(f); 2) 0 x→ - ∞
, , k=0, . , -- ; y=c=const y=f(x) x→+∞ x→-∞, .
|
|
45.
= f () -1> .
1. .
2. ( ) .
3. (, f() > 0 f() < 0).
4. , , .
5. .
6. .
7. .
8. .
. , .