a) Select a point on the graph of y = -x + 2x³ + 13x² - 14x-24, where the roller coaster is going up and evaluate i. The First Derivative i. ii. b) Select a point on the graph of y = -x² + 2x³ + 13x²14x-24, where the roller coaster is down and evaluate The First derivative The Second Derivative ii. The Second Derivative c) At the highest, or lowest point of the coaster, the first derivative is zero. Does that mean that the second derivative at that point is zero? Explain using correct mathematical language and diagrams/graphs, and examples.

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