Question

Помогите найти производную

Answer 1

Ответ:

а)

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

б)

$y' = 3 {x}^{2} {e}^{ - {x}^{2} } + {e}^{ - {x}^{2} } \times ( - 2x) \times {x}^{3} = \\ = {e}^{ - {x}^{2} } (3 {x}^{2} - 2 {x}^{4} )$