Ответ: 20 . D ; 21 . C ; 22 . D .
Пошаговое объяснение:
20 . f(x) = ( 3 - 4x )³ ; f '(x) = 3 ( 3 - 4x )² * ( 3 - 4x )' = 3 ( 3 - 4x )² *( - 4 )= - 12 (3 - 4x )² .
21 . f(x) = 1 /( 6x - 1 )⁵ = ( 6x - 1 )⁻ ⁵ ; f '(x) = - 5 (6x - 1 )⁻⁶ * (6x - 1 )' =- 5 (6x - 1 )⁻⁶ * 6 =
= 30 (6x - 1 )⁻⁶ = 30 / (6x - 1 )⁻⁶ .
22 . y = ( 2x - 1 )³ ; x₀ = 2 ; drtty666y
y' = 3 ( 2x - 1 )² * ( 2x - 1 )' = 3 ( 2x - 1 )² * 2 = 6 ( 2x - 1 )² ; y' = 6 ( 2x - 1 )² ;
y' ( 2 ) = 6 * (2*2 - 1 )² = 6 * 9 = 54 .
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Ответ: 20 . D ; 21 . C ; 22 . D .
Пошаговое объяснение:
20 . f(x) = ( 3 - 4x )³ ; f '(x) = 3 ( 3 - 4x )² * ( 3 - 4x )' = 3 ( 3 - 4x )² *( - 4 )= - 12 (3 - 4x )² .
21 . f(x) = 1 /( 6x - 1 )⁵ = ( 6x - 1 )⁻ ⁵ ; f '(x) = - 5 (6x - 1 )⁻⁶ * (6x - 1 )' =- 5 (6x - 1 )⁻⁶ * 6 =
= 30 (6x - 1 )⁻⁶ = 30 / (6x - 1 )⁻⁶ .
22 . y = ( 2x - 1 )³ ; x₀ = 2 ; drtty666y
y' = 3 ( 2x - 1 )² * ( 2x - 1 )' = 3 ( 2x - 1 )² * 2 = 6 ( 2x - 1 )² ; y' = 6 ( 2x - 1 )² ;
y' ( 2 ) = 6 * (2*2 - 1 )² = 6 * 9 = 54 .