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-
: 1. f(x) [;b] () , f(x) >= 0 (f(x) <=0)
| 2. f(x) [a,b] - (a,b) f(x)>0 (f(x)<0), - f(x) () [a;b].
| :
| 1. - f(x) [a;b]. ∆. - f(x) ∆y = f(x+∆x)-f(x). :
|
| ∆x>0, ∆y>0 - .
| ∆<0, ∆y<0- - .
|
| , ∆→0 :
| , . . f(x)>=0 . .
| , f(x) , f(x)<=0.
| 2. f(x)>0. - f(x) , .
| f(x2) f(x1) = f(ξ) (x2-x1) ξ
| , f(ξ)>0, x2 > x1 f(x2 x1), x2 < x1 f(x2) < f(x1), .. f(x) .
| , f(x) < 0, f(x) .
| :
|
| α . f(x) = tg α >0. α=0 f(x) = tg 0 = 0 f(x)>0.
|
| - f(x) , , , α=0.
| f(x)= tg α = 0.
| 28..- -.. -
, .
| :. . . L. .
| , . , . . . L (L=5) . 1/6 . . p=1/6, . . = 1/6.
| . . . ., 2 . , . . . ., . . 6 - . . . . , .:
| . . 10 . . 1 10. 1,2,3,4-,-. 1 . -. , 1, 2,3,4 . . . m . n . . .
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: 2016-04-03; !; : 375 | :
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, . ==> ... 1477 - | 1417 -
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