Question

вычислите производную сложной функции
y=sin (ln x2) ​

Answer 1

$y = \sin( ln( {x}^{2} ) )$

$y' = \sin( ln({x}^{2} ) ) ' \times ( ln( {x}^{2} ) )' \times ({x}^{2} )'$

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

$y' = \frac{ \cos( ln( {x}^{2} )) \times 2x }{ {x}^{2} }$

$y' = \frac{2 \cos( ln( {x}^{2} ) ) }{x}$