Найдите производную 20 баллов...

vipsergazyev @vipsergazyev

August 2022 1 16 Report

Найдите производную
20 баллов

Answers & Comments

sangers1959

Verified answer

Ответ:

Объяснение:

$y=\frac{\sqrt{a^{2}+x^{2} } }{x} \\y'=(\frac{\sqrt{a^{2}+x^{2} } }{x})'=\frac{(\sqrt{a^{2}+x^{2} } )'*x-\sqrt{a^{2}+x^{2} } *x'}{x^{2} }$

Вычислим числитель:

$\sqrt{a^{2}+x^{2} } )'*x-\sqrt{a^{2}+x^{2} } *x'=\frac{x*(a^{2}+x^{2})' }{2*\sqrt{a^{2}+x^{2} } }-\sqrt{a^{2}+x^{2} }=\frac{x*2x-2*(\sqrt{a^{2} +x^{2} } )^{2} }{2*\sqrt{a^{2}+x^{2} } } =\\ =\frac{2x^{2}-2a^{2}+2x^{2} }{2*\sqrt{a^{2}+x^{2} } } =\frac{-2a^{2} }{2*\sqrt{a^{2} +x^{2} } } =-\frac{a^{2} }{\sqrt{a^{2} +x^{2} } } .$

Таким образом:

$y'=-\frac{a^{2} }{x^{2}*\sqrt{a^{2}+x^{2} } } .$

1 votes Thanks 1

More Questions From This User See All

vipsergazyev August 2022 | 0 Ответы

pomogite pliiiz 30 ballov reshit differencial 2 primera

vipsergazyev August 2022 | 0 Ответы

srochno kaz yaz test 60 ballov 20 voprosov vse ishutsya v inete samomu netu vreme

vipsergazyev August 2022 | 0 Ответы

crochno 60 ballov aza tili 1 kirme szdi krsetiiz a dpter v oryndy s

vipsergazyev August 2022 | 0 Ответы

esli tochki av i s lezhat na odnoj pryamoj to najditn takoe chislo chtoby vypolnyal

vipsergazyev July 2022 | 0 Ответы

pomogite pliz 15 ballov differencial

vipsergazyev July 2022 | 0 Ответы

imeetsya mnozhestvo chisel 1 2 3 4 sostavit sleduyushie vidy soedinenij po 2 e

vipsergazyev July 2022 | 0 Ответы

Adverbs My friend always does her homework (bad,badly). Marisha has a very (loud...

vipsergazyev July 2022 | 0 Ответы

postroit predlozheniya 3 shtuki srochno

vipsergazyev November 2021 | 0 Ответы

vstavit slova v predlozhenie3c93b6823bf3f5f89ade4ed42c20cb98 9868

vipsergazyev November 2021 | 0 Ответы

slick the sentence that has no grammar mistakes 1slick the correct sentence

рекомендуемые вопросы

rarrrrrrrr August 2022 | 0 Ответы

o chem dolzhny pozabotitsya v pervuyu ochered vzroslye pri organizacionnom vyvoze n

danilarsentev August 2022 | 0 Ответы

est dva stanka na kotoryh vypuskayut odinakovye zapchasti odin proizvodit a zapcha

myachina8 August 2022 | 0 Ответы

najti po grafiku otnoshenie v3v1 v otvetah napisano 9 no nuzhno reshenie

ydpmn7cn6w August 2022 | 0 Ответы

Choose the correct preposition: 1.I am fond (out,of,from) literature. 2.where ar...

millermilena658 August 2022 | 0 Ответы

opredelite kak sozdavalas i kto sozdaval arabskoe gosudarstvo v kracii

MrZooM222 August 2022 | 0 Ответы

ch ajtmanov v rasskaze krasnoe yabloko ispolzuet metod rasskaz v rasskaze opi

timobila47 August 2022 | 0 Ответы

kakovo bylo naznachenie kazhdoj iz chastej vizantijskogo hrama pomogite pozhalujsta

ivanyyaremkiv August 2022 | 0 Ответы

pozhalujsta8b98a56c0152a07b8f4cbcd89aa2f01e 97513

sarvinozwakirjanova August 2022 | 0 Ответы

pomogite pozhalusto pzha519d7eb8246a08ab0df06cc59e9dedb 6631

Helpful Links

Политика конфиденциальности

Правила и условия

Контакты

Helpful Social

Copyright © 2024 SCHOLAR.TIPS - All rights reserved.