If x² + y² - 3xy² = -1, find dy/dx in terms of x and y. Using your answer for dy/dx, fill in the following table of approximate y-values of points on the curve near x = 1, y = 1. 0.96 0.98 1.02 1.04 Finally, find the y-value for x = 0.96 by substituting x = 0.96 in the original equation and solving for y using a computer or calculator. y(0.96)~ How large (in magnitude) is the difference between your estimate for y(0.96) using dy/dx and your solution with a computer or calculator?

If x² + y² - 3xy² = -1, find dy/dx in terms of x and y. Using your answer for dy/dx, fill in the following table of approximate y-values of points on the curve near x = 1, y = 1. 0.96 0.98 1.02 1.04 Finally, find the y-value for x = 0.96 by substituting x = 0.96 in the original equation and solving for y using a computer or calculator. y(0.96)~ How large (in magnitude) is the difference between your estimate for y(0.96) using dy/dx and your solution with a computer or calculator?

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.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 4E

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