Question

I don't know how to differentiate with respect to x
xy+y =1

Answer 1

use the product rule on xy:
x*dy/dx+y*1 + dy/dx = 0

Answer 2

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

Answer 3

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

Answer 4

easy...
uv metho..
x.(dy/dx)+y.1 + dy/dx = 0
(x-1)(dy/dx)=-y
dy/dx=-y/x-1

Answer 5

it's not x-1 it's x+1

Answer 6

Thanks a lot

Answer 7

np

Answer 8

yeah

Answer 9

It is the same answer as the doctor solve