Question

1) If xy + x + y - 1 = 0 then find dy/dx
​

Answer 1

Answer:

-(y+1) / (x+1)

Step-by-step explanation:

differentiate w. r. t. x.

d/dx (xy) + d/dx (x) + d/dx (y) - d/dx (1) =0

x. d/dx (y) + y. d/dx (x) + 1 + dy/dx - 0 = 0

x. dy/dx + y(1) + 1 + dy/dx = 0

x. dy/dx + dy/dx +y + 1 = 0

(x+1).dy/dx = -y -1

(x+1).dy/dx = -(y+1)

dy/dx = - (y+1) / (x+1)