Question

Find the total differential coefficient of x^2

y with respect to x when x and y are connected by

the relation ^

2+y^2+xy=1​

Answer 1

Answer:

Sorry dear mujha nhi aata

Answer 2

Given:-

$x^{2} +y^2+xy=1$

To Find:-

Find the total differential coefficient of x^2y with respect to x when x and y are connected by the relation  $x^{2} +y^2+xy=1$

Solution:-

It is given that  $x^{2} +y^2+xy=1$

let,  $w=x^{2} +y^{2}+xy-1$

then, to find the total differential coefficient , we have

$dw=w_{x}+w_{y}$    , where $w_{x}$ and $w_{y}$ represent the differentiation of w with respect to x.

Therefore,  the total differential coefficient is given as

$dw=(2x+y)+(2y+x)$