Use the given derivative to find all critical points off, and at each critical point determine whether a relative maximum, relative minimum, or neither occurs. Assume that f is continuous everywhere. 3 - 4x f'(x) = x + 9

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Use the given derivative to find all critical points off, and at each critical point determine whether a relative maximum, relative
minimum, or neither occurs. Assume that f is continuous everywhere.
f'(x) =
3 - 4x
x + 9
Enter the exact answers in increasing order.
A relative minimum occurs at
V X =
i
A relative maximum occurs at
X =
3/4
Transcribed Image Text:Use the given derivative to find all critical points off, and at each critical point determine whether a relative maximum, relative minimum, or neither occurs. Assume that f is continuous everywhere. f'(x) = 3 - 4x x + 9 Enter the exact answers in increasing order. A relative minimum occurs at V X = i A relative maximum occurs at X = 3/4
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