Analysis of multiple variable functions (#differentiation) Let f (x, y) = 1+z²y² (a) Find the first and second partial derivatives of f by hand. Verify your answers are correct using SageMath. (e) Find and classify the critical points of f. (d) Find the local and global extrema of f on the domain -2 ≤ x ≤ 2, -3 ≤ y ≤ 3. (e) Plot f on the domain -2 ≤ x ≤ 2, -3 ≤ y ≤ 3. Relate your results from the previous part to the plot.

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