Question

Найти пройзводную.......... ​

Answer 1

Ответ:

1

$y = {(2 {x}^{3} + 5) }^{4}$

$y '= 4 {(2 {x}^{3} + 5)}^{3} \times (2 {x}^{3} + 5) '= \\ = 4 {(2 {x}^{3} + 5)}^{3} \times 6 {x}^{2} = 24 {x}^{2} {(2 {x}^{3} + 5)}^{3}$

2

$y = {( {x}^{2} - 1) }^{5}$

$y '= 5 {( {x}^{2} - 1)}^{4} \times ( {x}^{2} - 1) '= \\ = 5 {( {x}^{2} - 1) }^{4} \times 2x = 10x {( {x}^{2} - 1)}^{4}$

3

$y = 3 {(5 {x}^{2} - x + 4)}^{6}$

$y '= 3 \times 6 {(5 {x}^{2} - x + 4) }^{5} \times (5 {x}^{2} - x + 4) '= \\ = 18 {(5 {x}^{2} - x + 4) }^{5} \times (10x - 1) = \\ = 18(10x - 1) {(5 {x}^{2} - x + 4)}^{5}$

4

$y = {(2x - {x}^{5} })^{4}$

$y' = 4 {(2x - {x}^{5}) }^{3} \times (2 - 5 {x}^{4} )$