Question

Помогите пожалуйста... Буду признателен

Answer 1

$y' = 3 \times 8(2 {x}^{2} - 5x + 9)^{7} \times \\ \times (2 {x}^{2} - 5x + 9)'= \\ 24(2 {x}^{2} - 5x + 9)^{7} (4x - 5)$
$y' = 2 \times \frac{1}{3} (1 + 4 {x}^{3} - {x}^{5} )^{ \frac{1}{3} - 1} \times \\ \times (1 + 4 {x}^{3} - {x}^{5} ) = \\ \frac{2}{3} (1 + 4 {x}^{3} - {x}^{5} ) ^{ - \frac{2}{3} }(12 {x}^{2} - 5 {x}^{4} ) = \\ \frac{2}{3 \sqrt[3]{ {(1 + 4 {x}^{3} - {x}^{5} ) }^{2} } } (12 {x}^{2} - 5 {x}^{4} )$