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...
Related questions
Question
![Derive f(x):
=
x6-x+1
x6 +x+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F215cb3f6-bc07-4b31-a07e-679c345e3904%2F7175259c-7f8e-4cf3-92e3-730e98aafa12%2Fauzh7z_processed.png&w=3840&q=75)
Transcribed Image Text:Derive f(x):
=
x6-x+1
x6 +x+1
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Follow-up Question
need help with part b.
![a) Derive f(x)
f'(x)
=
6
x6x +1
x6 + x + 1
x+1
x + 1
(6x³ − 1) (x³ + x + 1) − (6x5 + 1)(xồ − x + 1)
(x² + x + 1)²
b) At what points does the graph of f have a horizontal tangent line? Give the x-coordinate of each point (use commas to list them).](https://content.bartleby.com/qna-images/question/215cb3f6-bc07-4b31-a07e-679c345e3904/c96c6272-ad5c-4402-8e3b-fb67ceb3e68f/k2blb59_thumbnail.png)
Transcribed Image Text:a) Derive f(x)
f'(x)
=
6
x6x +1
x6 + x + 1
x+1
x + 1
(6x³ − 1) (x³ + x + 1) − (6x5 + 1)(xồ − x + 1)
(x² + x + 1)²
b) At what points does the graph of f have a horizontal tangent line? Give the x-coordinate of each point (use commas to list them).
Solution
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