Question

Помогите решить данные примеры ✋

Answer 1

1 задание на фото

2.

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

3.

$y '= ( \sqrt{6 {x}^{2} - 4x + 1 } )' = ( {(6 {x}^{2} - 4x + 1)}^{ \frac{1}{2} } )' = \\ = \frac{1}{2} {(6 {x}^{2} - 4x + 1)}^{ - \frac{1}{2} } \times (6 {x}^{2} - 4x + 1)' = \\ = \frac{1}{2 \sqrt{6 {x}^{2} - 4x + 1} } \times (12x - 4) = \frac{6x - 2}{ \sqrt{6 {x}^{2} - 4x + 1} }$