If f(x, y) = x^3y + e^xy^2, find fx and fy.
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Answer:the emphasis has shifted: we now think of x and y as independent variables and z as a variable ... if we restrict attention to the line x = y, we get f(x, y)=2/x and along the line y = 2x ... EXAMPLE 14.1.5 Suppose the temperature at (x, y, z) is T(x, y, z) = e−(x ... and reported to you that fx(x, y) = 2x + 3y and that fy(x, y) = 4x + 6y.
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