2. We have -2t 6t2 - 2 p(t) = p'(t) = (t? + 1)2 p"(t) = %3D t2 +1 (t2 + 1)3* Use the derivative(s) above to answer the following question. (For full credit you must use the derivative(s) to justify your answers.) (a) Is the graph of p(t) increasing or decreasing at t = 2? (b) Is the graph of p(t) concave up or concave down at t = 2?

2. We have -2t 6t2 - 2 p(t) = p'(t) = (t? + 1)2 p"(t) = %3D t2 +1 (t2 + 1)3* Use the derivative(s) above to answer the following question. (For full credit you must use the derivative(s) to justify your answers.) (a) Is the graph of p(t) increasing or decreasing at t = 2? (b) Is the graph of p(t) concave up or concave down at t = 2?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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