Find dy/dx in terms of x and y

Question

Find dy/dx in terms of x and y if 2xy+4x+y=6.

dy/dx=____

Answer 1

Differentiate with respect to x

 

2y + 2xy' + 4 + y' = 0

2xy' + y' = -(4 + 2y)

y'(2x + 1) = -(4 + 2y)

y' = -(4 + 2y)/(2x + 1)