Найдите производную y=(x-8)^2(x+4)+1. Created by CleverStudent. algebra-ru

Найдите производную y=(x-8)^2(x+4)+1...

CleverStudent @CleverStudent

August 2022 1 15 Report

Найдите производную
y=(x-8)^2(x+4)+1

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sintiyaberk

Verified answer

$y=(x-8)^2(x+4)+1$
$y'=((x-8)^2)'(x+4)+(x-8)^2(x+4)'+1'=2(x-8)(x-8)'(x+4)$ $+(x-8)^2*1+0=2(x-8)*1*(x+4)+(x-8)^2=(x-8)(2(x+4)$ $+(x-8))=(x-8)(2x+8+x-8)=3x(x-8)$

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Answers & Comments

Verified answer

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