Every cubic function (i.e. function of the form f(x) = ax³+bx²+cx+d with a, b, c and d constants, and a # 0) has at least one tangent line that is horizontal.
Every cubic function (i.e. function of the form f(x) = ax³+bx²+cx+d with a, b, c and d constants, and a # 0) has at least one tangent line that is horizontal.
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
Prove if the following statements are true or false.
If true, provide a calculation that justifies the answer.
If false, provide a counterexample
![Every cubic function (i.e. function of the form f (x) = ax³+bx²+cx+d
with a, b, c and d constants, and a + 0) has at least one tangent line that is
horizontal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b10f01a-0005-4862-96fe-0c2de1018b69%2Ff2a4eb34-4908-4117-8875-639a17adb275%2Fbe99h0g_processed.png&w=3840&q=75)
Transcribed Image Text:Every cubic function (i.e. function of the form f (x) = ax³+bx²+cx+d
with a, b, c and d constants, and a + 0) has at least one tangent line that is
horizontal.
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