Найдите производную функции y=(ln(x))^sin(x). Created by katerinabogomaz2000. algebra-ru

Найдите производную функции y=(ln(x))^sin(x)...

katerinabogomaz2000 @katerinabogomaz2000

July 2022 1 10 Report

Найдите производную функции
y=(ln(x))^sin(x)

Answers & Comments

Miroslava227

Ответ:

По формуле:

$y' = ( ln(y)) ' \times y$

$( ln(y))' = ( ln( {( ln(x)) }^{ \sin(x) } ) ' = \\ = ( \sin(x) \times ln( ln(x) ) )' = \\ = \cos(x) \times ln( ln(x) ) + \frac{1}{ ln(x) } \times \frac{1}{x} \times \sin(x) = \\ = \cos(x) \times ln( ln(x) ) + \frac{ \sin(x) }{x ln(x) }$

$y' = {( ln(x)) }^{ \sin(x) } \times ( \cos(x) \times ln( ln(x) ) + \frac{ \sin(x) }{x ln(x) } ) \\$

3 votes Thanks 3

katerinabogomaz2000 Спасибо :з

mprevor https://znanija.com/task/43039442

20 srochno3f6d0f203dc97998406bce9e34617722 45663

Answer

katerinabogomaz2000 August 2022 | 0 Ответы

fizika srochno 4yakij opir maye alyuminiyeva drotina dovzhinoyu 1700 mm ta plosheyu per

Answer

katerinabogomaz2000 August 2022 | 0 Ответы

fizika srochno 6yakij strum teche vzdovzh alyuminiyevogo providnika dovzhinoyu 10 m d

Answer

katerinabogomaz2000 August 2022 | 0 Ответы

prilivayemo do rozchinu soli hloridnu kislotu vidilyayetsya gaz bez zapahu yakij vi

Answer

katerinabogomaz2000 August 2022 | 0 Ответы

chomu maksimumi ye yak zliva tak i sprava tema optika srochnoz

Answer

katerinabogomaz2000 August 2022 | 0 Ответы

srochnodopomozhit bud laska3 yake znachennya rn v rozchini natrij gidroksidu1234

Answer

katerinabogomaz2000 August 2022 | 0 Ответы

Answers & Comments

20 srochno3f6d0f203dc97998406bce9e34617722 45663

fizika srochno 4yakij opir maye alyuminiyeva drotina dovzhinoyu 1700 mm ta plosheyu per

fizika srochno 6yakij strum teche vzdovzh alyuminiyevogo providnika dovzhinoyu 10 m d

prilivayemo do rozchinu soli hloridnu kislotu vidilyayetsya gaz bez zapahu yakij vi

chomu maksimumi ye yak zliva tak i sprava tema optika srochnoz

srochnodopomozhit bud laska3 yake znachennya rn v rozchini natrij gidroksidu1234

chomu golovnij maksimum bilogo koloru a vsi inshi maksimumi mayut kolorove rozf

pamagitez tom go to scotland by train he has already bought tickets

ukrayinska mova 10 11 klas

ala 487b 503v 774g 673g 536d 447e 648

рекомендуемые вопросы

Helpful Links

Helpful Social