A graphing calculator is recommended. - 1 Let f(x) = x + 1 (a) Find f'(x) and f"(x). 4x (1? + 1)? f'(x) = f"(x) = (b) Check to see that your answers to part (a) are reasonable by comparing the graphs of f, f', and f". f' = 0 when f has a ---Select--- f" = 0 when f' has a ---Select--- f' is negative when f is ---Select--- v and positive when f is --Select--- v f" is negative when f' is ---Select--- v and positive when f' is --Select--- ♥ f" is negative when f is concave -Select--- v and positive when f is concave ---Select--- v

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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A graphing calculator is recommended.
x2
Let f(x)
1
x2 + 1
(a) Find f'(x) and f"(x).
4x
(2? + 1)²
f'(x)
%D
f"(x)
=
(b) Check to see that your answers to part (a) are reasonable by comparing the graphs of f, f', and f".
f' = 0 when f has a
---Select---
f" = 0 when f' has a
-Select---
---
f' is negative when f is ---Select--- v and positive when f is ---Select--- v
f" is negative when f' is ---Select--- v and positive when f' is ---Select--- v
f" is negative when f is concave ---Select--- v and positive when f is concave ---Select--- v
Transcribed Image Text:A graphing calculator is recommended. x2 Let f(x) 1 x2 + 1 (a) Find f'(x) and f"(x). 4x (2? + 1)² f'(x) %D f"(x) = (b) Check to see that your answers to part (a) are reasonable by comparing the graphs of f, f', and f". f' = 0 when f has a ---Select--- f" = 0 when f' has a -Select--- --- f' is negative when f is ---Select--- v and positive when f is ---Select--- v f" is negative when f' is ---Select--- v and positive when f' is ---Select--- v f" is negative when f is concave ---Select--- v and positive when f is concave ---Select--- v
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