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Unformatted text preview: 2 θ 2 ± . (c) Is f globally invertible? State your reasons. 3. (10 points) Let f : R → R be a smooth function, and let g : R 2 → R be given by g x y ± = y − f ( x ), let M = ² x y ± ³ ³ ³ ³ g x y ± = 0 ´ , and let c be a stationary point of f . (a) Compute µ D g x y ±¶ . (b) Is µ D g x y ±¶ onto on M ? (c) Is µ D g c y ±¶ onto at x = c ? (d) Is it possible to locally represent M as a function of y at x = c ?...
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 Summer '09
 EYDELZON
 Differential Calculus, Multivariable Calculus, Continuous function, 25 Min

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