Let f(x, y) be differentiable at (ro, yo). Then we have f(xo + Ax, yo + Ay) - f(xo, y0) fa (ro, yo) Ar + fy(xo, yo)Ay + 1Ax + €2Ay where 1 (Ar, Ay), E2 (Ar, Ay) → 0 as Ar- →0 and Ay → 0. - =

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A: Answer

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A: Our objective is given below:

Q: (-4,4) 1 -5 1 -2 (-1,0) -3 -1 -2 2 3,5

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A: Topic = Limits and  Continuity

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A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

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A: from chain rule of derivaties…

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A: Solution:-

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Q: Suppose that f: R² R is a function given by y³ x² + y² f(x, y) = 0 for x = y = 0. Show that f(x, y)…

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