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? =
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? =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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