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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Question
![1. (a) Calculate the domain and evaluate the critical points of the function
f (x) = 6x/3 –15x²/3
(b) Using part (a) and the First Derivative Test evaluate the relative extrema of
the function f (x) = 6x/3 –15x/3
(c) Investigate the concavity of ƒ(x)=6x3 –15x213 and evaluate the values of x
where the function has inflection points, cusp points and points of vertical tangency
5/3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce355d18-84ab-4e84-8dd5-87e67475d1bd%2F318161b0-9e1f-491f-b5cb-75e7f61fe7cb%2Fcmhkj3mt_processed.png&w=3840&q=75)
Transcribed Image Text:1. (a) Calculate the domain and evaluate the critical points of the function
f (x) = 6x/3 –15x²/3
(b) Using part (a) and the First Derivative Test evaluate the relative extrema of
the function f (x) = 6x/3 –15x/3
(c) Investigate the concavity of ƒ(x)=6x3 –15x213 and evaluate the values of x
where the function has inflection points, cusp points and points of vertical tangency
5/3
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