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

Chapter 14, Problem 11

(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) =xy+ yx, x = 0 and y = 0,0, x = 0 or y = 0.

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