Unformatted text preview: ∂ 2 g ∂s ∂t and ∂ 2 g ∂t ∂s in terms of g xx , g xy and g yy ONLY. For problems 2, 3, and 4 f ( x, y ) = x 2 + y 3 + 4 y 2 + 2 xy . 2. (36 pts.) (a) For what value of u is D u f (0 , 1) a maximum? (b) What is the maximum value of D u f (0 , 1)? (c) Find a value of u so that D u f (0 , 1) = 0. 3. (12 pts) Find the tangent line to the level curve f ( x, y ) = 5 at (0 , 1). 4. (28 pts) (a) Find the critical points of f ( x, y ). (b) Use the second derivative test to classify them. END OF EXAM Final Exam: 11:30 Wed. 12/11 in YORK 2722...
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 Fall '08
 Helton
 Math, Calculus, Derivative, blue book, ∂t ∂t ∂s

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