(a) Find all second partial derivatives of f(x, y) = e² + tan(x + y²) (b) Find and classify the critical points of the function f(r, y) = -2r – 4ry + 2y² + 2x – 2. (c) Use the chain rule to find the derivative of the function z = 2x*y – ry? along the curve given by r = cos 20, y = sin 0. Give your answer in terms of 0. (d) Determine if the function f(z) = sinh iz is complex differentiable (analytic). You may wish to note the identity sinh(r + iy) = sinh a cos y + i cosh a sin y for real numbers x, y.

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