Помогите !50б. знайти похідну складеної функції y=√9-x^2найти производную сложно...

riannaadrri @riannaadrri

July 2022 1 2 Report

Помогите !50б.

знайти похідну складеної функції y=√9-x^2

найти производную сложной функции y = √9-x ^ 2

Answers & Comments

Miroslava227

Ответ:

$y = \sqrt{9 - {x}^{2} } = {(9 - {x}^{2} ) }^{ \frac{1}{2} }$

$y' = \frac{1}{2} {(9 - {x}^{2} )}^{ - \frac{1}{2} } \times (9 - {x}^{2} )' = \\ = \frac{1}{2 \sqrt{9 - {x}^{2} } } \times ( - 2x) = - \frac{x}{ \sqrt{9 - {x}^{2} } }$

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Answers & Comments

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kontvir chomu charuyut nas pisni marusi churaj

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