Consider the function yx { x² + x² 0 f(x, y) = = if (x, y) = (0,0) Compute the partial derivatives at the origin. (a) of (0,0) = (b) of dy -(0,0) = (c) Determine whether the following statement is true or false. "The function f(x, y) is continuous at (0, 0)." True if (x, y) = (0,0) False (c) Determine whether the following statement is true or false. "The function f(x, y) is differentiable at (0, 0)." True False

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