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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.4: Slope-intercept Form
Problem 73PFA
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Transcribed Image Text:a) Select a point on the graph of y = −x² + 2x³ + 13x² − 14x − 24, where the roller coaster is going up and evaluate
The First Derivative
i.
ii.
b) Select a point on the graph of y = -x + 2x³ + 13x² − 14x − 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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