Найти производную от произведения:[tex]y = {2x}^{9} \times 3ctg \: x[/tex]. Created by polinashevtsovaaa. algebra-ru

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polinashevtsovaaa @polinashevtsovaaa

July 2022 1 5 Report

Найти производную от произведения:
[tex]y = {2x}^{9} \times 3ctg \: x[/tex]

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sangers1959

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Объяснение:

$y=2x^9*3ctgx=6*x^9*ctgx.\\y'=(6*x^9*ctgx)'=6*(x^9*ctgx)=6*((x^9)'*ctgx+x^9*(ctgx)'=\\=6*(9x^8*ctgx-\frac{x^9}{sin^2x})=6x^8*(9*ctgx-\frac{x}{sin^2x}).$

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Answer

Answers & Comments

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