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  1. 1. 2.2
  2. 2. ; f A. : f 0 f (,) , 0 (, ) f [,] , (, ) R + x f(x)-f() lim x- - x f(x)-f() lim x-
  3. 3. f 1 . 1 f ' ( x ) , f f.
  4. 4. f ( ) : f : . f f : . f : =f
  5. 5. : .ggb .
  6. 6. f f f f(x)=c (c) =0 R f(x)=x (x) =1 R f(x)=x , N {0, 1} -1 (x ) =x R f(x)=x , Z {0, 1} -1 (x ) =x R-{0} f(x)=x , R - Z -1 (x ) =x [0, ) >1 , (0, ) 0 x x ( ) = ln R f(x)=x (x) =x R f(x)=x (x) =-x R f(x)=x 2 2 1 (x) = 1+ x x ={x R/x + 2 , Z} f(x)=x 2 2 1 (x) = - (1+ x) x ={x R/x , Z} f(x)=|x| -1 , x 0 (|x|) = 1 , x 0 R-{0} f(x)= 1 x 2 1 1 = - x x R-{0}
  7. 7. f f f
  8. 8. 1 . 228 , , 0=. : 1 228.ggb xx xx xf , , )(
  9. 9. 2 . 228 , (, f()) 0 f. (, f()) (-, 0) Cf . : 2 228.ggb xxf )(
  10. 10. 3 . 228 f(x)=x3 M(, 3) , . Cf . : 3 228.ggb
  11. 11. 4 . 228 . , , i) . ii) , 0. : 4 228.ggb M 1 , x xf 1 )(
  12. 12.