Реферат: Основы математики

¦ Б M < x0 < b, a7f(M) > 0,

M < x1 , x2 < b <=> ¦ 2 f(M) > 0, <=> D . 0,

=============== ¦ 9 f(b) > 0, M < x0 < b

¦ ( a < 0,

¦ 2 D . 0,

¦ Б M < x0 < b,

¦ 2 f(b) < 0,

¦ 9 f(M) < 0

L--

Теорема 4. ---

--------- ¦ ( а > 0,

¦ Б f(M) > 0,

¦ 9 f(b) < 0, a7f(b) < 0

M < x1 < b < x2 <=> ¦ ( a < 0, <=> a7f(M) > 0,

=============== ¦ Б f(b) > 0,

¦ 9 f(M) < 0

L--

Теорема 5. ---

--------- ¦ ( а > 0,

¦ Б f(M) < 0,

¦ 9 f(b) > 0, a7f(b) > 0

x1 < M < x2 < b <=> ¦ ( a < 0, <=> a7f(M) < 0,

=============== ¦ Б f(b) < 0,

¦ 9 f(M) > 0

L--

Теорема 6. ---

---------- ¦ ( а > 0,

¦ Б f(M) < 0,

¦ 9 f(b) < 0, a7f(b) < 0