Question

Производная tg^2(1/x^2)

Answer 1

Ответ:

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

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