Find the equation for each tangent line to the curve x^2 - sin y = y+4 where y=0.
when y = 0 x =+/- 2
2 x dx -y cos y dy = dy
but y = 0 so
2 x dx = dy
dy/dx = 2 x
so at (-2 , 0) slope m = -4
and at (+2, 0) slope m = 4
2 x dx -y cos y dy = dy
but y = 0 so
2 x dx = dy
dy/dx = 2 x
so at (-2 , 0) slope m = -4
and at (+2, 0) slope m = 4