Question

differentiation of(y²=x+y)​

Answer 1

Good Morning!

y² = ( x +y )

Differentiate both sides w.r.t x we have

d(y²)/dx = d(x)/dx + d(y)/dx

2y dy/dx = 1 + dy/dx

2ydy/dx - dy/dx = 1

dy/dx ( 2y - 1 ) = 1

dy/dx = 1/( 2y - 1 )