Please solve the following questions: Find the indicated partial derivatives. f(

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Please solve the following questions:

Find the indicated partial derivatives. f(x, y, z) = xezln(y2 - xz - 3); fx(2, 2, 0), fy(2, 2, 0), fz(2, 2, 0) f(x, y) = x3 ex+3y; fxx(-3, 1), fxy(-3, 1), fyy(-3,1) Use the chain rule to find the indicated partial derivatives. u = x2y2 + z2, x = rest, y = rset, z = ter; when r = 1, s = 2, t = 0. Given a surface F(x, y, z) = y2exz cosz - 1 = 0 and a point P(2, 1, 0) on the surface. Compute the rate of change of F at P in the direction of a unit vector u = (-3 / 13, 4 / 13, -12 / 13). Find the maximum rate of change of F at P and the direction in which it occurs. Given a function f(x, y) = xyex+y. Find the local maxinuim and minimum values and saddle points of the function. Compute the following two double integrals: where D is the region with vertices (0, 0), (1, 1) and (0, 1).

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Please solve the following questions: Find the indicated partial derivatives. f(

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