8. Suzanne told her friend Johnny that he needed to know for the calculus test that the derivative of a cubic function will always be a quadratic function. Is Suzanne correct? Explain why or why not. Include an example to back your opinion. 9. Besides the 3 discontinuities (infinite, removable and jump) name 3 scenarios in which the derivative does not exist. Draw a sketch of the situation [*] Name: Sketch: Section 3: Thinking 10. The function g(x) = x² - kx³-9x² + 7x-8 has a minimum when x = 3. Determine the value of k. 11. What point on the curve y = x², does the normal have a slope of 16? =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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8. Suzanne told her friend Johnny that he needed to know for the calculus test that the derivative
of a cubic function will always be a quadratic function. Is Suzanne correct? Explain why or why
not. Include an example to back your opinion.
9. Besides the 3 discontinuities (infinite, removable and jump) name 3 scenarios in which the
derivative does not exist. Draw a sketch of the situation [*]
Name:
Sketch:
Section 3: Thinking
10. The function g(x) = x² - kx³-9x² + 7x-8 has a minimum when x = 3. Determine the
value of k.
11. What point on the curve y = x², does the normal have a slope of 16?
=
Transcribed Image Text:8. Suzanne told her friend Johnny that he needed to know for the calculus test that the derivative of a cubic function will always be a quadratic function. Is Suzanne correct? Explain why or why not. Include an example to back your opinion. 9. Besides the 3 discontinuities (infinite, removable and jump) name 3 scenarios in which the derivative does not exist. Draw a sketch of the situation [*] Name: Sketch: Section 3: Thinking 10. The function g(x) = x² - kx³-9x² + 7x-8 has a minimum when x = 3. Determine the value of k. 11. What point on the curve y = x², does the normal have a slope of 16? =
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