Find a function f that has a continuous derivative on !0,

Chapter 7, Problem 50

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Find a function f that has a continuous derivative on !0, " and that has both of the following properties. i. The graph of f goes through the point !1, 1". ii. The length L of the curve from !1, 1" to any point !x, f !x"" is given by the formula L ! ln x ' f !x" " 1.

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