
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Transcribed Image Text:Use p(x) = In(x² + x + 7) to answer the questions below.
(a) Find p'(x)
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(b) Find the equation of the tangent line to p(x) at x = 0. Use y as the dependent variable.
(c) If the equation of the tangent line produces an underestimate for values of p(x) near x = 0,
which of the following must be true near x=0?
Op'(x) is decreasing and p "(x) is positive
Op'(x) is decreasing and p "(x) is negative
Op'(x) is increasing and p "(x) is positive
Op'(x) is increasing and p "(x) is negative
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