|
8
| , :
| 䒺
| *
|
| 1
| | y=f(x) , :
| 
| 
| * 䒺
| y'>0
| | y=f(x) , :
| *
|
| 䒺
|
| | , :
| y'<0
| y'>0
| *y'=0
| y'=1
| | y=f(x) y'(x0)=0, a y''(x0)>0. ?
| f(x0)
| * f(x0)
| f(x0)
| f(x0) 0
| | y=f(x) y'(x0)=0, a y''(x0)<0. ?
| * f(x0)
| f(x0)
| f(x0)
| f(x0) 0
| | y'(x)∆x :
| ∆y
|
| *
|
| | y=f(x) (,b) . [, b] :
| 
| 
| 
| * 
| | Z=f(x,y) (x0,y0) . , :
| 
| 
| 
| * 
| | , :
| 䒺
| *
|
| 1
| | y=f(x) , :
| y'=0
| y'=1
| * 䒺
| y'>0
| | , :
| y'<0
| y'>0
| *y'=0
| y'=1
|  ,
|  ;
| * ;
| ;
| .
| |
| * 
| 
| 
| 
|   ,
|
| *
|
|
| | ,
| * 0 ;
|
| 䒺
| .
| , 
| 䒺 . ;
| (+) (-);
| . ;
| * (-) (+)
| ,  :
|
| *䒺
|
|
| ,  , ,
| * - ;
| -
| 
| 
|  :
| 
| *  
| 
| 
| | :
| 
|  = 1
| < 0
| * ≥ 0
| ,  , :
| *  > 0
| < 0
| = -2
| = -1
| | , , :
| * < 0
| > 0
| = 1
| = 1.5
| ,  , :
|
| *
|
| '
|
: 2016-11-24; !; : 473 |
:
:
1666 -  | 1484 - 
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