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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 ? Select all that apply. Op"(x) is positive Op'(x) is increasing p"(x) is negative p'(x) is decreasing

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 ? Select all that apply. Op"(x) is positive Op'(x) is increasing p"(x) is negative p'(x) is decreasing

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 ? Select all that apply. Op"(x) is positive p'(x) is increasing Op"(x) is negative p'(x) is decreasing 0
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 ? Select all that apply. Op"(x) is positive p'(x) is increasing Op"(x) is negative p'(x) is decreasing 0
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