найдите производную [tex]y = (x + \frac{1}{2})( {x}^{2} + x)[/tex]. Created by marialkahelp. algebra-ru

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July 2022 1 12 Report

найдите производную
[tex]y = (x + \frac{1}{2})( {x}^{2} + x)[/tex]

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Vladislav006

Verified answer

$y'= ((x + \frac{1}{2})( {x}^{2} + x))' = (x^{3}+ x^{2} + \frac{1}{2} x^{2} + \frac{1}{2}x)' = \\ \\ = (x^{3})'+ (x^{2})' + (\frac{1}{2} x^{2})' + (\frac{1}{2}x)' = \\ \\ = 3x^{2}+ 2x + x + \frac{1}{2} = 3x^{2}+ 3x+ \frac{1}{2} =$

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