Question

Найти производную функции

Answer 1

Ответ:

в

$y' = \frac{1}{ \cos {}^{2} (x \sqrt{x} ) } \times ( {x}^{ \frac{3}{2} } ) '= \frac{1}{ \cos {}^{2} (x \sqrt{x} ) } \times \frac{3}{2} {x}^{ \frac{1}{2} } = \\ = \frac{3 \sqrt{x} }{2 \cos {}^{2} (x \sqrt{x} ) }$

г

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