Finding the Normal Equation for a Curve at a Given Point

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koolkris623
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Find the equation of the line normal to the curve at (0,0). (Normal lines are perpendicular to the tangent lines)

2y + sinx = xcoxy

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

then the slope tangent is 0...then the slope perpendicular to it is undefined...so then is the normal equation..x=0?
 
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That looks ok to me.