Maximum value (If none write DNE): x = -6 (If none write DNE): f(Max)= 6 X o, value of maximum value

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2
1 + (x+6) ²*
Determine all of the critical number of f. Hint: Graph the function.
Let f(x) = 1 +
Critical number(s): x = -6
Determine all intervals on which f in increasing or decreasing.
Interval where f(x) is increasing: (-∞,-6)
Interval where f(x) is decreasing: (-6,∞)
Does f have a global maximum? Yes o If so, what is its value and where is the maximum?
OT
Maximum value (If none write DNE): x = -6
(If none write DNE): f(Max)= 6
Does f have a global minimum? No ✓o If so, what is its value and where is the minimum?
Minimum value (If none write DNE): x = DNE
(If none write DNE): f(Max)= DNE
X
OF
✓o, value of maximum value
✓0
value of minimum value
Transcribed Image Text:2 1 + (x+6) ²* Determine all of the critical number of f. Hint: Graph the function. Let f(x) = 1 + Critical number(s): x = -6 Determine all intervals on which f in increasing or decreasing. Interval where f(x) is increasing: (-∞,-6) Interval where f(x) is decreasing: (-6,∞) Does f have a global maximum? Yes o If so, what is its value and where is the maximum? OT Maximum value (If none write DNE): x = -6 (If none write DNE): f(Max)= 6 Does f have a global minimum? No ✓o If so, what is its value and where is the minimum? Minimum value (If none write DNE): x = DNE (If none write DNE): f(Max)= DNE X OF ✓o, value of maximum value ✓0 value of minimum value
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