Question 8 Use the chain rule to find D(gof) in the following cases: (a) f(x, y) = (xy², cos(y - x), e), g(u, v, w) = (e

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Question 8 Use The Chain Rule To Find D Gof In The Following Cases A F X Y Xy Cos Y X E G U V W E 1 (106.07 KiB) Viewed 32 times

Question 8 Use the chain rule to find D(gof) in the following cases: (a) f(x, y) = (xy², cos(y - x), e), g(u, v, w) = (e², u − v + w); (b) f(x, y, z) = (exyz, y² + 2, cos(-xz)), g(u, v, w) = u² + v² - w; Question 9 Determine the second order Taylor approximation for the function f: R² → R: (x,y) → sin(x²y). = which is valid near the point (x, y) (-1, π). Question 10 Find the local extrema of (a) f(x, y) = 2x³ + 6xy² - 12xy. (b) f(x, y) = x + y cos(x). For each function above, determine whether the extrema found are max points, min points, or saddle points.