Special formula: Curvature for y _ f 1x2 Assume that f is

Chapter 11, Problem 50

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Special formula: Curvature for y _ f 1x2 Assume that f is twice differentiable. Prove that the curve y = f 1x2 has curvature k1x2 = _ f _1x2 _ 11 + f _1x2223>2. (Hint: Use the parametric description x = t, y = f 1t2.)

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