Consider the function f(x) = 2x 3x- 36x + 54. a. Find the first derivative. f'(x) b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease. e. Find the second derivaitve. f''(x) f. Use parts b through e to identify maximums as points. g. Use parts b through e to identify minimumns as points. h. Use the second derivative to identify intervals where f(1) is concave up. i. Use the second derivative to identify intervals where f(z) is concave down. find inflection points

Consider the function f(x) = 2x 3x- 36x + 54. a. Find the first derivative. f'(x) b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease. e. Find the second derivaitve. f''(x) f. Use parts b through e to identify maximums as points. g. Use parts b through e to identify minimumns as points. h. Use the second derivative to identify intervals where f(1) is concave up. i. Use the second derivative to identify intervals where f(z) is concave down. find inflection points

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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