Помогите вычислить производную функции. Created by applejuice02. matematika-ru

Помогите вычислить производную функции...

applejuice02 @applejuice02

July 2022 2 6 Report

Помогите вычислить производную функции

Miroslava227

Ответ:

$y=(2x^2-3)(x^2-2x)\\\\y=2x^4-4x^3-3x^2+6x\\\\y'=8x^3-12x^2-6x+6$

2 votes Thanks 1

NNNLLL54

Verified answer

Ответ:

$y' = (2 {x}^{2} - 3)'( {x}^{2} - 2x) + ( {x}^{2} - 2x)'(2 {x}^{2} - 3) = \\ = 4x( {x}^{2} - 2x) + (2x - 2)(2 {x}^{2} - 3) = \\ = 4 {x}^{3} - 8 {x}^{2} + 4 {x}^{3} - 6x - 4 {x}^{2} + 6 = \\ = 8 {x}^{3} - 12 {x}^{2} - 6x + 6$

1 votes Thanks 0

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