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v v. v .

f . f v :

  • vv
  • vv f -
  • vv max (min)
  • f (f(x)=0)
  • f -->, x-->-
  • f vv v vv f
  • v , v vv

"" "vv" vv . vvv v vv v. ̺ v v.

v. f(x) = x3-4x2+4x . vv .

() = 3x2-8x+4 = (3-2)(-2) = 0, = 2/3, 2. max (min) v . 2- . ( 2- vv , vv 0 - vv 㺺 ):

() = 6-8, (2/3)<0, (2)>0 . - vv v, vvv. ( vv, vv?) 13- f 2/3 max - , 2 min - . f(2/3) = 32/27 = 1.(185), f(2) = 0 vvv.

f . f(x) = x3-4x2+4x = (-2)2 . = 0, 2 . (-2) , , v .

. , v v () = 6-8 = 0, x = 4/3 . vvv :

v.

f(x) = (x2)/(x2-1) .

() = -(2)/(x2-1)2 = 0, = 0 . () - max (min) - , 㺺 .

(-, 0) >0, (0, ) <0 f(0) max .

vv, , : 0 max - , f(0) = 0, -1, 1 v . -->-1, 1 f-->- . . .

v .

,

. v ( ) f(x) ? . f(x) . -1, 1 f(x) --> . (- , v .) :

x -1, 1, -, - . , v vv .

: . v. v , v (). v , , vv v . !

<-- (3) | vv | -->


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