(adsbygoogle = window.adsbygoogle || []).push({}); Implicit Differentiation Problem -- Check my work?

I've worked it -- can someone just check my work?

Problem:

xcosy+ycos=1

My work:

[x (d/x)cosy + cosy (d/dx)x] + [y (d/dx)cosx + cosx (d/dx)y] = (d/dx) 1

-xsiny (dy/dx) + cos y - ysinx + cos x (dy/dx) = 0

-xsiny (dy/dx) + cos y = ysinx - cosy

dy/dx = (ysinx - cosy)/(-xsiny + cos x)

Meanwhile, could someone help me with this one...

squareroot (xy) = 1+(x^2)y

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# Homework Help: Implicit Differentiation Problem - Check my work?

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