Question: (5 points) Define f: R R f(x, y) so (x, y) = (0,0) xy2 (x, y) =(0,0) (a) (1 point) Compute the partial derivatives

(5 points) Define f: R R f(x, y) so (x, y) =

(5 points) Define f: R R f(x, y) so (x, y) = (0,0) xy2 (x, y) =(0,0) (a) (1 point) Compute the partial derivatives for f at (0,0). (b) (2 point) Determine which directional derivatives exist for f at (0,0) and compute their value. (c) (2 points) Isf differentiable at (0,0)? Why or why not?

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