ƒ·¼µ¹ƒµ¹‚ 1.1 1.7

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  • 1. 1) () (= = = ). .. : 2x 10 x 5 : 2x 10 x 5 2) () (= = = ). .. : , 2 : 23) ( A ). , , B4) . A . ( ) ( ) B5) 0 ( ). , 0 .
  • 2. 6) 00 ( ). .. 0 1 . 0 1 , 0 .7) : =0 ) 0 0 0 (. 0 0 ) =0 .. x(x 3)(x 2) 0 x 0 x 3 0 x 2 0 x 0 x 3 x 2 ) 0 0 0 x 4 0 x 4 .. (x 4)(x 5) 0 x 5 0 x 5 ) 2 2 0 A 0 B 0 x 1 0 x 0 .. x2 2x y2 1 0 (x 1)2 y2 0 y 0 y 0 ) A B 0 A 0 B 0 x 0 x 0 .. x y 2 0 y 2 0 y 28) 0
  • 3. 1.1 ( ) ( ) ( ) ( ) ( ) ( ) 0 1 1/ () 0 1, 1 0 !! , 0 : : , 0
  • 4. 1.2 1 ... 1 0 1 , 0 v .. 22 (2)2 , 2 2 , 0 , 0 ( ) , 0 ( ) 0 ( )2 2 2 2 ( )2 2 2 2 ( )3 3 32 32 3 ( )3 3 32 32 3 (x )(x ) x2 ( )x ( )( 1 2 ... 2 1 ) : (x )(x ) x2 ( )x Newton: ( )( 1 2 ... 2 1 ) .. 4 : 4 4 ( )(3 2 2 3 ) .. 5 : 5 5 ( )(4 3 22 3 4 ) : 2 2 ( )2 2 [ ( )2 2 2 2 2 2 ( )2 2 ] 3 3 ( )3 3( ) [ ( )3 3 32 32 3 3 3 ( )3 32 32 3 3 ( )3 3( ) ]
  • 5. 1. ( ) . .. ( )2 2 2 2 . ( )2 ( )( ) 2 2 2 2 2 2. . .. ( )2 ( )2 2( )2 4 : ( )2 ( )2 2 2 2 2 2 2 22 22 : 2( )2 4 2(2 2 2 ) 2 22 4 22 4 22 22 , . 3. , . , , . .. ( )2 ( )2 2( )2 4 ( ) ( )2 ( )2 2( )2 4 2 2 2 2 2 2 2(2 2 2 ) 2 22 22 22 4 22 4 22 22 22 22 . , , . : !!
  • 6. 1. .. 5x2y 10xy2 20x2y2 5xy(x 2y 4xy) 2. .. 32 6 22 (3 ) 2(3 ) (3 )( 2) 3. .. 2 16 ( 4)( 4) 4. x2 ( )x , +. x2 ( )x (x )(x ) .. x2 5x 6 , 6 5. 2 3, 5 2 6 3 x2 5x 6 (x 2)(x 3) 2, 3 ... !! .. x3 2x2 x 2 x3 2x2 x 2 x3 2x2 x 2 0 x2 (x 2) (x 2) 0 (x 2)(x2 1) 0 (x 2)(x 1)(x 1) 0 x 2 0 x 1 0 x 1 0 x 2 x 1 x 1
  • 7. 1.3 ( =) x , : x ( ) 0 x 0 ( ) 0 0x 0 x ( ) 10 0.. 5x 10 x x2 3x 0 x x0 5 3 0x 4 0x 0 x 1. 2. ( ) 3. 4. 5. 2 2x 2.. 2 x x 1 x x 2 2x 2 2 2x 2 x 0 x 0 2 x x 1 x x x x 1 x(x 1) x 1 0 x 1 2 2x 2x(x 1) x(x 1) x(x 1) 2(x 1) 2x2 2 x x 1 x(x 1) 2x 2 2x2 2 2x 2x2 2 2 2x(1 x) 0 x 0 1x 0 x 0 x 1 x 0 ( x 0 ), x 1
  • 8. .. 2x 1 x 2 . - 2x 1 x 2 x 2x x 2 1 !! , x!(2 )x 2 1 ( 1) x ( 1)( 1) 2 ( 0 , 0 ) I) ( 1) 0 0 1 , ( 1)( 1) 1 x ( ) ( 1) II) ) 0 , , 0x (0 1)(0 1) 0x 1 ) 1 , , 0x (1 1)(1 1) 0x 0 x () : 0 = 0 0 0 0.. , (2 4)x 2 . x 2 4 2 . , 0 0 , 2 4 0 ( 2)( 2) 0 2 0 2 0 2 2 2 2 0 2 0 2 0 2
  • 9. 1.4 0 0 0 0 ( ) 0 0 0 ( ) , 0 0 ( ) , 0 0 ( ) 2 0 (.. 2 0 . 2 0 0 ) ( ) ( ) 0 ( / ) 0 ( / ) , , , : 1 1 , 0 ( ) / , , ,
  • 10. 1.5 , - , ., , . .. x 2 3x 8