Question

x3+x2y+xy2+y3=81differentiate wrt X
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Answer 1

Solution :

x3+x2y+xy2+y3=81

Differentiate both sides w.r.t. x

3x2+(x2dydx+2xy)

+(2xydydx+y2)+3y2dydx=0

⇒(x2+2xy+3xy2)dydx=−(3x2+2xy+y2)

⇒dydx=−(3x2+2xy+y2)(x2+2xy+3y2)