The equation fxy fab defines a level curve through a point, Mathematics

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The equation fxy fab defines a level curve through a point

The equation f(x,y) = f(a,b) defines a level curve through a point (a, b) where grad f (a, b) à= ì0 . Use im- plicit differentiation and the chain rule to show that the slope of the line tangent to this curve at the point (a, b) is !fx(a,b)/fy(a,b) if fy(a,b) à

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Mathematics: The equation fxy fab defines a level curve through a point

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