Consider the function below. x2 f(x) = x2 25

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 2ECP
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Consider the function below.
x2
f(x) :
.2
25
Transcribed Image Text:Consider the function below. x2 f(x) : .2 25
Find the local maximum value.
Step 1
-50x
Since the denominator is always positive, then f '(x)
= 0 when the numerator is 0. This occurs when x =
0. Since f(x) increases to the left of this value, and decreases to the right, then f(0) = 0 is a local
(x² – 25)2
maximum
maximum
Step 2
50(3x² + 25)
(2? – 25 )3
Therefore, the local maximum value is
-
Transcribed Image Text:Find the local maximum value. Step 1 -50x Since the denominator is always positive, then f '(x) = 0 when the numerator is 0. This occurs when x = 0. Since f(x) increases to the left of this value, and decreases to the right, then f(0) = 0 is a local (x² – 25)2 maximum maximum Step 2 50(3x² + 25) (2? – 25 )3 Therefore, the local maximum value is -
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