Solution: In 1114, a functions f is given.(a) Use a computer to draw a contour diagram

Chapter 14, Problem 14

(choose chapter or problem)

In 1114, a functions f is given.(a) Use a computer to draw a contour diagram for f.(b) Is f differentiable at all points (x, y) = (0, 0)?(c) Do the partial derivatives fx and fy exist and are theycontinuous at all points (x, y) = (0, 0)?(d) Is f differentiable at (0, 0)?(e) Do the partial derivatives fx and fy exist and are theycontinuous at (0, 0)?f(x, y) = xyx2 + y2, (x, y) = (0, 0),0, (x, y) = (0, 0).

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