Show that x + yx1 = 1 and y = x x2 define the same curve [except that (0, 0) is not a
Chapter 3, Problem 49(choose chapter or problem)
Show that x + yx1 = 1 and y = x x2 define the same curve [except that (0, 0) is not a solution of the first equation] and that implicit differentiation yields y = yx1 x and y = 1 2x. Explain why these formulas produce the same values for the derivative. 5
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