2006
1 | 腅.. | ||
2 | 腅. | ||
1. | 酅 | ||
2. | 腅.. | ||
3. | ⅅ. | ||
3 | 腅 | ||
1. | |||
2. | 腅 | ||
3. | ... | ||
4. | . | ||
4 | 酅.. | ||
1. | 腅. | ||
2. | , 充. | ||
3. | ... | ||
4. | .. | ||
5. | , 充 |
x D y. , D f, , f (x) = y.
D f, x , y f x.
E = { y Î R: y = f (x), x Î D } f.
D = N ( ), , { x n }. , x n = :
x 1 = , x 2 = , x 3 =
G f Oxy (x, f (x)), x Î D.
:
1.
) , , f (x) = 3 x + 7;
) , , f (x) = ;
) , F (x, y) = 0,
, x 2 + arctg (xy) 1= 0;
) : F (x) = f (u (x)). ,
, y = sin u, u = ; , y = e u, u = cos v, v = 3 x.
2. ;
3. ,
x | x 1 | x n | |
f (x) | y 1 | y n |
: y = x a ( ), y = a x, y = log a x, . , , .
|
|
f (x) [ a, b ], x 1, x 2 , x 1< x 2 f (x 1) £ f (x 2). f (x 1) < f (x 2), f (x) .
f (x) [ a, b ], x 1, x 2 , x 1< x 2 f (x 1) ³ f (x 2). f (x 1) > f (x 2), f (x) .
.
, { x n } (), n Î N x n £ x n +1 (x n ³ x n +1).
f (x) [ a, b ], M, x f (x) £ M.
f (x) [ a, b ], m, x f (x) ³ m.
, [ a, b ] , , [ a, b ]. : K, | f (x) | £ K x [ a, b ].