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Use p(x) = In(x2 + x + 7) to answer the questions below. (a) Find p'(x) = (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 "(x) is positive

Use p(x) = In(x2 + x + 7) to answer the questions below. (a) Find p'(x) = (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 "(x) is positive

Calculus: Early Transcendentals
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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Use p(x) = In(x² + x + 7) to answer the questions below. (a) Find p'(x) - (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
Transcribed Image Text:Use p(x) = In(x² + x + 7) to answer the questions below. (a) Find p'(x) - (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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