A formula for the curvature of the graph of a function in

Chapter 12, Problem 5E

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A formula for the curvature of the graph of a function in the xy -planea. The graph in the xy-plane automatically has the parametrization ,and the vector formula .Use this formula to show that if ƒ is a twice-differentiable function of x, then b. Use the formula for in part (a) to find the curvature of .Compare your answer with the answer in Exercise 1.c. Show that the curvature is zero at a point of inflection.

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