tex]...

July 2022 1 15 Report

Помогите срочно!!!найти частные производные 1 го порядка и записать полный дифференциал функции
[tex]z = \frac{x-y}{2x+y} [/tex]

Answers & Comments

Artem112

Verified answer

$z=\dfrac{x-y}{2x+y}$

Частные производные:

$\dfrac{\partial z}{\partial x} =\dfrac{(x-y)'_x(2x+y)-(x-y)(2x+y)'_x}{(2x+y)^2} =$

$=\dfrac{1\cdot(2x+y)-(x-y)\cdot2}{(2x+y)^2} =\dfrac{2x+y-2x+2y}{(2x+y)^2} =\dfrac{3y}{(2x+y)^2}$

$\dfrac{\partial z}{\partial y} =\dfrac{(x-y)'_y(2x+y)-(x-y)(2x+y)'_y}{(2x+y)^2} =$

$=\dfrac{(-1)\cdot(2x+y)-(x-y)\cdot1}{(2x+y)^2} =\dfrac{-2x-y-x+y}{(2x+y)^2} =-\dfrac{3x}{(2x+y)^2}$

Полный дифференциал:

$dz=\dfrac{\partial z}{\partial x} dx+\dfrac{\partial z}{\partial y} dy=\dfrac{3y}{(2x+y)^2}dx-\dfrac{3x}{(2x+y)^2}dy$

2 votes Thanks 2

pomogite pozhalujsta perehodnoe sostoyanie mezhdu krestyaninom krepostnym i krest

Answer

xgamerxpowerp9qy5j August 2022 | 0 Ответы

najti chislo h po dannomu ego logarifmu s resheniem pozhalujsta404ba3b5c336d6b06a1678aa5d9ebe25 85265

Answer

xgamerxpowerp9qy5j August 2022 | 0 Ответы

najti chislo h po dannomu ego logarifmu s resheniem pozhalujsta

Answer

xgamerxpowerp9qy5j August 2022 | 0 Ответы

opredelite klass neorganicheskih veshestv dajte im nazvaniya i ukazhite tip himichesk

Answer

xgamerxpowerp9qy5j August 2022 | 0 Ответы

61 5 pochemu takoj otvet

Answer

xgamerxpowerp9qy5j August 2022 | 0 Ответы

reshite ionnoe uravnenie zapisat polnoe i sokrashyonnoe uravnenie cucl2 naoh

Answer

xgamerxpowerp9qy5j August 2022 | 0 Ответы

opredelite klass neorganicheskih veshestv dajte im nazvaniya i ukazhite tip himiches410f93b114c82a53dc31240a419eea69 3593

Answer

Answers & Comments

Verified answer

pomogite pozhalujsta perehodnoe sostoyanie mezhdu krestyaninom krepostnym i krest

2-a)...

chto soedinyaet vse organy rasteniya1 stebel2 koren3 cvetok4 plod

100 ballov dam reshit 1i2 zaranee spasibo

najti chislo h po dannomu ego logarifmu s resheniem pozhalujsta404ba3b5c336d6b06a1678aa5d9ebe25 85265

najti chislo h po dannomu ego logarifmu s resheniem pozhalujsta

opredelite klass neorganicheskih veshestv dajte im nazvaniya i ukazhite tip himichesk

61 5 pochemu takoj otvet

reshite ionnoe uravnenie zapisat polnoe i sokrashyonnoe uravnenie cucl2 naoh

opredelite klass neorganicheskih veshestv dajte im nazvaniya i ukazhite tip himiches410f93b114c82a53dc31240a419eea69 3593

рекомендуемые вопросы

Helpful Links

Helpful Social