A function f defined on –4

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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A function f defined on -4<x<4 is given by the
graph to the left. Use the graph to answer each of the
following questions.
f
3+
Note: to the right of x = 2, the graph of f is exhibiting
infinite oscillatory behavior similar to the function
2+
sin는)
For each of the values in the table, determine whether
or not f'(a) exists. In particular, based on the given
graph, ask yourself if it is reasonable to say that f has
a tangent line at (a, f(a))for each of the given a
values. If so, visually estimate the slope of the tangent
line to find the value of f'(a). If not, then put DNE in
1+
-3
-2
-1
-1
the table.
-2+
a
f'(a)
-3
-2
-1
1
2
Transcribed Image Text:A function f defined on -4<x<4 is given by the graph to the left. Use the graph to answer each of the following questions. f 3+ Note: to the right of x = 2, the graph of f is exhibiting infinite oscillatory behavior similar to the function 2+ sin는) For each of the values in the table, determine whether or not f'(a) exists. In particular, based on the given graph, ask yourself if it is reasonable to say that f has a tangent line at (a, f(a))for each of the given a values. If so, visually estimate the slope of the tangent line to find the value of f'(a). If not, then put DNE in 1+ -3 -2 -1 -1 the table. -2+ a f'(a) -3 -2 -1 1 2
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Given that the graph.

A function is defined on -4<x<4.

To determine whether f'(a) exist or not:

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