Using the graphing utility, graph the function y = f'(x). f'(x) = x* – 15x³ + 73x² – 129x + 70 %3D f' (x) = y -400 200 -40 -20 20 40 -200 -400 powered by desmos -600 +

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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Using the graphing utility, graph the function y =
f'(x).
f'(x) = x* – 15x³ + 73x² – 129x + 70
f'(x) =
y
-400
200
-40
-20
20
40
--200-
-400
powered by
desmos
-600
+
Transcribed Image Text:Using the graphing utility, graph the function y = f'(x). f'(x) = x* – 15x³ + 73x² – 129x + 70 f'(x) = y -400 200 -40 -20 20 40 --200- -400 powered by desmos -600 +
Use the graph to find the point(s) of inflection of f.
(Give your answer in the form of a comma-separated list of values. Express numbers in exact form. Use symbolic notation and
fractions where needed. Enter DNE if the function has no inflection points.)
X =
Use the graph to determine the interval(s) on which the function f is concave down.
(Give your answer as an interval in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Use
decimal notation. Give your numbers to three decimal places.)
interval(s):
Transcribed Image Text:Use the graph to find the point(s) of inflection of f. (Give your answer in the form of a comma-separated list of values. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no inflection points.) X = Use the graph to determine the interval(s) on which the function f is concave down. (Give your answer as an interval in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Use decimal notation. Give your numbers to three decimal places.) interval(s):
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