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Derivatives and Relations

Show that for the relation (xy)^12 + (y/x)^1/2 = 10, x and y cannot = 0,
dydx = yx

Solution Preview

We use implicit function theorem (IFT):
Let F = (xy)^12 + (y/x)^1/2
Then dy/dx = - (dF/dx) / (dF/dy)
where
dF/dx = ...

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