Question

if x^2+xy+y^2=a^2 find the value of dy/dx

Answer 1

dx²/dx + d(xy) + dy²/dy*dy/dx = da²/dx

2x + dx/dx*y+ xdy/dx+2ydy/dx =0. (b/c it's constant term)

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

=> 2x+y= -xdy/dx-2ydy/dx

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

there for dy/dx= -2x+y /x+2y



hope it help u