(a) If x3 + y3 xy2 = 5, find dy/dx.(b) Using your answer to part (a), make a table of

Chapter 3, Problem 35

(choose chapter or problem)

(a) If x3 + y3 xy2 = 5, find dy/dx.(b) Using your answer to part (a), make a table of approximatey-values of points on the curve near x =1, y = 2. Include x = 0.96, 0.98, 1, 1.02, 1.04.(c) Find the y-value for x = 0.96 by substituting x =0.96 in the original equation and solving for y usinga computer or calculator. Compare with your answerin part (b).(d) Find all points where the tangent line is horizontalor vertical.

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