Найти пройзводную.......... . Created by erkeandakulov. algebra-ru

Найти пройзводную.......... ...

erkeandakulov @erkeandakulov

September 2021 1 11 Report

Найти пройзводную..........

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Miroslava227

Ответ:

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

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

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

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

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

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

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

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

1 votes Thanks 1

abcd12344w46578 помогите с этим пж:https://znanija.com/task/43657142

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erkeandakulov July 2022 | 0 Ответы

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