Part I: Following is the graph of two functions defined on the interval [A.I]. One function is g(x) whose graph is the solid curve. The other function is h(x) whose graph is the dashed curve. One of these functions is the derivative of the other. That is, either g(x) =h'(x) or h(x)= g'(x). Decide which of these alternatives is correct and support your assertion with as many specific facts regarding features of the graphs as you can. x-B x-C x=E X-F x-G x=D x=H

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Apply Your Understanding: Justifying Behaviors of Functions
Part I: Following is the graph of two functions defined on the interval [A,I). One function is g(x) whose
graph is the solid curve. The other function is h(x) whose graph is the dashed curve. One of these
functions is the derivative of the other. That is, either g(x) =h'(x) or h(x)= g'(x). Decide which of these
alternatives is correct and support your assertion with as many specific facts regarding features of the
graphs as you can.
x=B x-C
x=E
x-G
X=F
x-DA
x=D
x=H
Transcribed Image Text:Apply Your Understanding: Justifying Behaviors of Functions Part I: Following is the graph of two functions defined on the interval [A,I). One function is g(x) whose graph is the solid curve. The other function is h(x) whose graph is the dashed curve. One of these functions is the derivative of the other. That is, either g(x) =h'(x) or h(x)= g'(x). Decide which of these alternatives is correct and support your assertion with as many specific facts regarding features of the graphs as you can. x=B x-C x=E x-G X=F x-DA x=D x=H
x x
Part II: Suppose f(x)3=
3
2x. Where is f(x) increasing and where is it decreasing? Explain your
2
!!
answer.
Transcribed Image Text:x x Part II: Suppose f(x)3= 3 2x. Where is f(x) increasing and where is it decreasing? Explain your 2 !! answer.
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