Question: Problem 8 Let f(x, y) = sin (3x2 - y). (a) Find the first partial derivatives of f(x, y). (b) Find fez(x, y) and fyy

Problem 8 Let f(x, y) = sin (3x2 - y). (a)

Problem 8 Let f(x, y) = sin (3x2 - y). (a) Find the first partial derivatives of f(x, y). (b) Find fez(x, y) and fyy (I, y). (c) Find fry(x, y) and fur(x, y), and verify that Clairaut's theorem holds. Problem 9 z is defined implicitly as a function of r and y by the equation z = viz - y. Find at (4, 3, 1)

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