0 -0.5 Graph S 0.5 Graph L 1 1 1 Graph-D D4 I can use the first and second derivatives to describe the behavior of functions, including listing intervals of increasing/decreasing, concavity, extreme values. (a) List the intervals where Graph L is increasing. (b) List a graph that has decreasing slopes when x is less than 1. 2.5 (c) Which graph has a second derivative that must be always positive? How do you know? (d) List the intervals where Graph S is concave down. (e) List the intervals where Graph S's second derivative is negative.
0 -0.5 Graph S 0.5 Graph L 1 1 1 Graph-D D4 I can use the first and second derivatives to describe the behavior of functions, including listing intervals of increasing/decreasing, concavity, extreme values. (a) List the intervals where Graph L is increasing. (b) List a graph that has decreasing slopes when x is less than 1. 2.5 (c) Which graph has a second derivative that must be always positive? How do you know? (d) List the intervals where Graph S is concave down. (e) List the intervals where Graph S's second derivative is negative.
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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Expert Solution
Step 1: Part a
Observe the graph L increased upto x=1, then decreased up to x=1.5 and thereafter again increases.
Therefore, the graph L increases .
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