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:
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:
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:
f, x f(x) ≥ f().
:
f, x f(x) ≤ f().
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x 0 - f (x), f (x 0) = 0 .
:
f (x) = 2x³ - 15x² + 36x - 14.
.
f `(x) = 6x ² - 30x +36 = 6(x -2)(x - 3), x = 2 x = 3.
. x = 2 , . x = 3 , x = 3 .
2 3
min max
:
x = 2 x = 3, :
f(2)=14 f(3)=13.
:
f (x)
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f (x) (a, b);
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.
|
|
y = x3 :
, y'' = 6x, 6x > 0 x > 0
6x < 0 x < 0, , y'' > 0 x > 0 y'' < 0 x < 0, , y = x3 x > 0 x < 0.
x = 0 y = x3.
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max min
y(1)=
y(3)=
6. , :
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