Question

dy
If x² + 2xy = y2, then
dy/dx is
​

Answer 1

Answer:

X²+2xy=y²

Step-by-step explanation:

D/dx(x²+2xy+y³)=d/dx_42

D/dx x² +d/dx 2xy+d/dx y³=0

2x+2(x dy/dx+y) +3y²dy/dx=0

2x+2y+dy/dx(2x+3y²)=0

dy/dx(2x+3y²)=-2(x+y)

dy/dx=-2(x+y)/2x+3y²

Formula :

D/dx(x^n) =nx^(n-1)

D/dx(u.v)=udv/dx+vdu/dx