Question

СРОЧНО ПОМОГИТЕ НАЙТИ ПРОИЗВОДНУЮ

Answer 1

Ответ:

8

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

9

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