Find the equation of the line normal to the curve at (0,0). (Normal lines are perpendicular to the tangent lines)

Question

2y + sinx = xcoxy

I found the derivative to be (cosy - cosx)/ (2+ xsiny)

then the slope tangent is 0...then the slope perpendicular is undefined...so then is the normal equation..x=0?

Answer 1

If dy/dx = as you stated, yes, the slope is undefined. x=0