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Finding the Critical Points for Functions of Two Variables

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For the following function, find the critical points, determine their nature (maxima, minima, inflection, etc.) and clearly sketch the function showing all the coordinates:
h(x, y) = (x^2 - 4)^2 + y^2

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Critical Points for Functions of Two Variables are found. The solution is detailed and well presented.

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hx = 2(x2 - 4)*2x = 4x(x2 - 4) = 4x3 - 16x = 0 ...

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