:





Dz ’ ²




:
  1. I. : , .
  2. I.
  3. I. ()
  4. II.
  5. II.
  6. III. .
  7. III.
  8. III.
  9. IV. -
  10. Quot; - ; , , ".

 

1

0:

 

= 2³ + 9² + 12 + 6.

:

1) .

2) :

f(-) = 2(-)³ + 9(-)² + 12(-) + 6 = -2³ + 9² - 12 + 6

f(-) = f() f(-) = - f() . , .

3) .

4) :

= 0, = 6.

5) .

΄ = (2³ + 9² + 12 + 6)΄ = 6² + 18 + 12

, .

6² + 18 + 12 = 0

1 = -1, 2 = -2

ֳ . :

(-¥; -2) (-2; -1) (-1; +¥)
f/(x) + - +
f(x)

(-2) = 2

(-1) = 1

6) :

΄΄ = 12 + 18, ΄΄ = 0

12 + 18 = -

= -

  (-¥;- ) (- ;¥)
f//(x) - +
f(x)

(- ) =

7) .

 

 

2

0:

 

:

; = 1,58

 

:

= 1,5, ∆ = 1,58 1,5 = 0,08

f() ≈ f() + d(f()) = f() + f΄() ∆

(1,58) = (1,5) + ΄(1,5)0,08

.

 

 

3

0:

, = ² + 2 + = 3

:

1) = ² + 2 + = 3

 

2) , ,

+ ² + 1 = 3; ² + 2 = 0; 1 = -2, 2 = 1

3) S =

= (. .).

 

 

4

0.

.. .

=UV.

y'=U'V+V'U=


: 2015-07-26; : 10;







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