find the equation of the tangent line at the given value of x on the curve

2xy-2x+y=-14, x=2

1 answer

2xy-2x+y=-14, x=2

We want dy/dx
2xdy/dx + 2xdx/dx - 2dx/dx + dy/dx = 0
dx/dx = 1
(2x+1)dy/dx + 2x - 2 = 0

dy/dx = -2(x-1)/(2x+1)

now put in x = 2