Question

Найти производные.Помогите

Answer 1

Ответ:

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