(d) Construct a sign chart for f"(x) and use it to determine the points of inflection of f. (Identify both the r and y values of the points of inflection.) (c) Sketch the graph of y = f(x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Can you help me with parts D and E

2. Consider the function f(r)= re
2z2
(a) Determine the y-intercept and the r-intercept(s), if there are any.
(b) Determine all critical points of f. (Identify both the r and y values of the critical points.)
(c) Construct a sign chart for f'(x) and use it to classify the critical points as local maxima,
local minima, or neither of those.
(d) Construct a sign chart for f" (x) and use it to determine the points of inflection of f.
(Identify both the r and y values of the points of inflection.)
(e) Sketch the graph of y = f(x).
Transcribed Image Text:2. Consider the function f(r)= re 2z2 (a) Determine the y-intercept and the r-intercept(s), if there are any. (b) Determine all critical points of f. (Identify both the r and y values of the critical points.) (c) Construct a sign chart for f'(x) and use it to classify the critical points as local maxima, local minima, or neither of those. (d) Construct a sign chart for f" (x) and use it to determine the points of inflection of f. (Identify both the r and y values of the points of inflection.) (e) Sketch the graph of y = f(x).
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