Find dydx by implicit differentiation y2 xyx2 ySolutiongiv

Find dy/dx by implicit differentiation: y2 = (x-y)(x2 + y)

given this, let\'s expand this, then

y^2 = x^3-x^2y+xy-y^2

by using implicit diff,

2y dy/dx = 3x^2-(2xy+x^2 dy/dx) + y + x dy/dx -2y/ dx

==> (2y+x^2-x+2y) dy/dx = 3x^2-2xy+y

(4y+x^2-x) dy/dx = 3x^2-2xy+y

dy/dx = (3x^2-2xy+y) / (4y+x^2-x)

$Find dy/dx by implicit differentiation: y2 = (x-y)(x2 + y)Solutiongiven this, let\'s expand this, then y^2 = x^3-x^2y+xy-y^2 by using implicit diff, 2y dy/dx =$

Find dydx by implicit differentiation y2 xyx2 ySolutiongiv

Solution

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