Question

x²+xy+y²=100;differentiation...​

Answer 1

given x^2+xy+y^2=100

by using implicit differentiation

differentiating  both sides with respect to x

=>2x+(x*(dy/dx)+ y)+2y(dy/dx)=0

2x+xdy/dx+y+2ydy/dx=0

xdy/dx+2ydy/dx=-(y+2x)

dy/dx(x+2y)=-(y+2x)

dy/dx=-(y+2x)/(x+2y)