Let 4=fcx)=3x"+4x' De termine the toltuing: a) Find au points of infiection luse concavity test and include the taow) b) on what interval(s) if f Concave up or concave doceon
Let 4=fcx)=3x"+4x' De termine the toltuing: a) Find au points of infiection luse concavity test and include the taow) b) on what interval(s) if f Concave up or concave doceon
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:**Exercise Instructions**
Let \( y = f(x) = 3x^4 + 4x^3 \). Determine the following:
a) Find all points of inflection (use concavity test and include the table).
b) On what interval(s) is \( f \) concave up or concave down?
c) Sketch \( f \) (using an appropriate window) and label all PI (point of inflection) locations.
**Graph Explanation**
The graph is a simple coordinate plane:
- The x-axis is labeled with a tick mark at \( x = -3 \), and another at \( x = 1.5 \).
- The y-axis is labeled with a tick mark at \( y = 4 \), and another at \( y = -2.5 \).
No specific function curve is drawn on this plane.
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