f(x) = x ³" х-а ↓ Intercepts Asymptotes.. f'(x) = 2x² (x-3) F"(x) = 2x(x²³-(x+12 (x-2)2 (x-2) ³ I Increasing /decr. max/mins Your goal sketch a detailed graph of f(x)...... f'(x) & f" (x) will give you important. information about f(x)... Find all intercepts (analyze f(x)) (6) Find all asymptotes. 3 Find.. HA or others t concavity & inflection points. any max/mins Find Track where the function increases & analyze flex) decreases. (4) Find any inflection points. Track the concavity of f(x) analyze f(x). analyze FA 5 Put, all the information together & sketch a detailed graph of f(x).
f(x) = x ³" х-а ↓ Intercepts Asymptotes.. f'(x) = 2x² (x-3) F"(x) = 2x(x²³-(x+12 (x-2)2 (x-2) ³ I Increasing /decr. max/mins Your goal sketch a detailed graph of f(x)...... f'(x) & f" (x) will give you important. information about f(x)... Find all intercepts (analyze f(x)) (6) Find all asymptotes. 3 Find.. HA or others t concavity & inflection points. any max/mins Find Track where the function increases & analyze flex) decreases. (4) Find any inflection points. Track the concavity of f(x) analyze f(x). analyze FA 5 Put, all the information together & sketch a detailed graph of f(x).
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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Transcribed Image Text:f(x) = x ³
х-а
↓
Intercepts
Asymptotes..
"f'(x) = 2x² (x-3)... F"(x) = 2x (x² - 6x +12
(x-2)2
3
(x-2) ³
I
Increasing /decr.
max/mins
Your goal sketch a detailed graph of f(x).
f'(x) & f" (x) will give you important.
information about f(x)...
O Find all intercepts (analyze f(x))
(6) Find all asymptotes.
(3) Find..
YA.
HA
or others
t
concavity
& inflection
points....
any max/mins
Find
Track where the function increases &
analyze flex)
decreases
(4) Find any inflection points.
Track the concavity of f(x)
analyze
f(x).
analyze
FITA
(5
5 Put all the information together &
sketch a detailed graph of f(x).
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