- #1
CACain
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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
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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