Derive f(x)= x6-x+1 I+x+ 9x

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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Derive f(x):
=
x6-x+1
x6 +x+1
Transcribed Image Text:Derive f(x): = x6-x+1 x6 +x+1
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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).
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).
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