1. Amp; 8. 18.12.1917 19.12 1917
  2. C
  3. GENESIS64 Security -
  4. I.
  5. I. Ͳί ˲
  6. I.
  7. I. Ͳ ϲ

: C[a, b] - , [a, b] . , .

. f(x) C[a, b] () (m) (a, b), f'(c) = 0.

- . f(c) = M, : = f '(c-0) 0, (+)

=f '(c-0) 0, (-),

, f'(c) = 0.

- M m , f'(c) = Tg = 0 = 0.

. f(x) C[a, b] f(a) = f(b), (a, b), f'(c) = 0.

-. 10 [a, b] , f(x) ' M m (m f(x) M). f(a) = f(b) ֳ ' [a, b] , -, f'(c) = 0. m = M, f(x) = Const f'(x) = 0.

. f(x) C[a, b], (a, b),

f '(c) = (21)

- . [a, b] F(x) = f(x) + h x, : F(a) = F(b) f(a) + h a = f(b) + h b h = . F(x) = f(x) x. (a, b),

F '(c) = f '(c) = 0 f '(c) = .

f(b) - f(a) - b - a . ' . : ) - ' ; ) , .

:

f(b) - f(a) = f'(c) (b - a) (22)

, .

. f(x), g(x) C[a, b] g(b) g(a), (a, b),

(23)

.

- . Q(x) = f(x) + h g(x). h Q(a) = Q(b), h = . Q(x) = f(x) g(x)

(a, b) Q '(c) = 0 f '(c) g '(c) = 0 .

g(x) = x .

. f(x), g(x) , , f(a) = g(a) = 0 , = = (24)

- . c (a, x),

. x a ,

= = =

x a c a .

1. f '(a) = g '(a) = 0 f '(x), g '(x) ,

= = = =

2. f(x) = , g(x) =

f '(x), g '(x), , g'(x) 0,

= =

, , , , .

. = = = = =



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