Show that x + yx 1 = 1 and y = x x 2 define the
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Show that x + yx−1 = 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'= yx−1 − x and y'= 1 − 2x. Explain why these formulas produce the same values for the derivative.
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Multiply the first equation by x and then isolate the y term to o...View the full answer
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