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Данякеп
@Данякеп
July 2022
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ФакторСтраха1
Task/26088910
--------------------
Дана функция f(x) = - x⁴ +5x² -15 .
------------
Найдите f '(4) , f '(-1/2) .
------------------
f '(x)
=(-
x⁴ +5x² -15 ) ' =- 4x
³ +5*2x =
2x(5 -2x² )
.
f ' (4
) = 2*4(5 -2*4²) = 8(5-2*16) =8 *(-27)
= - 216.
---
f ' (1/2
) = 2*(1/2)*
(
5 -2*(1/2)²
)
= 5-2*1/4 = 5 -1/2
= 4 , 5.
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Answers & Comments
--------------------
Дана функция f(x) = - x⁴ +5x² -15 .
------------
Найдите f '(4) , f '(-1/2) .
------------------
f '(x) =(-x⁴ +5x² -15 ) ' =- 4x³ +5*2x =2x(5 -2x² ) .
f ' (4) = 2*4(5 -2*4²) = 8(5-2*16) =8 *(-27) = - 216.
---
f ' (1/2) = 2*(1/2)* (5 -2*(1/2)² ) = 5-2*1/4 = 5 -1/2 = 4 , 5.
Verified answer
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