Question #351035

Let x(s) be a curve with arc length parametrization, and satisfies "||x(s)||\\leq ||x(s_0)||\\leq1" for all s sufficiently close to x_{0}. Prove "\\kappa" (s_{0}) > 1. (Hint: Consider f(s) = ||x(s)|| ^{2} . Then f(s) has a local maximum at s_{0}. Calculate f''(s_{0}))

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