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.
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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 3CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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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
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