Question: Illustrate 12 L. Let the function y be implicitly defined by y - 6y' = x3 - 3x + 2. (a) (2 pts) Graph the

Illustrate 12 L. Let the function y be implicitly defined by

Illustrate 12 L. Let the function y be implicitly defined by y - 6y' = x3 - 3x + 2. (a) (2 pts) Graph the function. (desmos. com has a great online graphing calculator) On your graph, sketch all horizontal and vertical tangent lines. (b) (6 pts) Use implicit differentiation to find the x-values where any horizontal and vertical tangent lines intersect the graph. (Hint: Horizontal lines have 0 slope. Vertical lines have infinite or undefined slope.) (Note: Your answers for part (b) may be decimal approximations. When you get y = 0, 5 and need to find the corresponding x-values, I will allow using an online solver or calculator.)

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