Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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find: domain range increasing decreasing relative max(s) relative min(s)
2 -2-
-f
Transcribed Image Text:2 -2- -f
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Step 1

Consider a function y=f(x). Then domain of this function is the set of all x values for which the function is defined. The range of this function is the set of all y values. A function is said to be increasing in an interval a,b only if f(a)<f(b) for a<b. The function is said to be decreasing in the interval a,b only if f(a)>f(b) for a<b

Relative maxima is the point where the function changes from increasing to decreasing and relative minima is the point where the function changes from decreasing to increasing. 

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