1) Is sin(x+y)=y² cos x, find dy/dx

2)Use implicit differentiation to find dy/dx, x²+ xy+ y² + 1 =0

3)If x sin y + y sin x =1 , find dy/dx

4) If y sin (x²) = x sin (y²) , find dy/dx

5) Use implicit differentiation to find dy/dx, tan (x - y) = y/ 1 + x²