Let f'(x) = x*+4x³ + 2x² + 12x+1. a. For what values of x is f(x) concave up? (Blank 1) b. For what values of x is f(x) concave down? (Blank 2). c. For what values of x does f(x) have a point of inflection?
Let f'(x) = x*+4x³ + 2x² + 12x+1. a. For what values of x is f(x) concave up? (Blank 1) b. For what values of x is f(x) concave down? (Blank 2). c. For what values of x does f(x) have a point of inflection?
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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Transcribed Image Text:Let f'(x) = x² + 4x³ + 2x² + 12x+1
a. For what values of x is f(x) concave up? (Blank 1)
b. For what values of x is f(x) concave down? (Blank 2)
c. For what values of x does f(x) have a point of inflection? (Blank 3)
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VIEWStep 3: Determining the second derivative of the function
VIEWStep 4: Determining the sign table for second order derivative
VIEWStep 5: (a) Determining the intervals for concave up
VIEWStep 6: (b) Determining the intervals for concave down
VIEWStep 7: (c) Determining the inflection point
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