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Consider the function f(x) = r? – 5 +4 x + 1 a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease.

Consider the function f(x) = r? – 5 +4 x + 1 a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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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Consider the function f(x) x² 1 52+4 x + 1 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. Based on parts b through e, f(x) has a maximum of y == F when a g. Based on parts b through e, f(x) has a minimum of y h. Use the second derivative to identify intervals where f(x) is concave up. = = when x = i. Use the second derivative to identify intervals where f(x) is concave down. j. Use the second derivative to find any inflection points. k. State any vertical asymptotes. 1. State any slant asymptotes,
Transcribed Image Text:Consider the function f(x) x² 1 52+4 x + 1 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. Based on parts b through e, f(x) has a maximum of y == F when a g. Based on parts b through e, f(x) has a minimum of y h. Use the second derivative to identify intervals where f(x) is concave up. = = when x = i. Use the second derivative to identify intervals where f(x) is concave down. j. Use the second derivative to find any inflection points. k. State any vertical asymptotes. 1. State any slant asymptotes,
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