Consider the functionf(x, y) = xy2x2 + y4 , (x, y) = (0, 0),0, (x, y) = (0, 0).(a) Use a
Chapter 14, Problem 17(choose chapter or problem)
Consider the functionf(x, y) = xy2x2 + y4 , (x, y) = (0, 0),0, (x, y) = (0, 0).(a) Use a computer to draw the contour diagram for f.(b) Show that the directional derivative fu (0, 0) existsfor each unit vector u .(c) Is f continuous at (0, 0)? Is f differentiable at(0, 0)? Explain.
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