Предмет: Математика, автор: svetlanakostenko358

Знайти похідну функції:
y=cos√x

Ответы

Автор ответа: mathAAM18
1

y = \cos \sqrt{x}

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

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