Let f(x) = x²+21 Find the critical points c that correspond to local minima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) C= Find the critical points c that correspond to local maxima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) C= Find the values at which the points of inflection occur. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no inflection points.) 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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Let f(x) = x²+21
Find the critical points c that correspond to local minima.
(Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there
are no critical points.)
C =
Find the critical points c that correspond to local maxima.
(Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there
are no critical points.)
C =
Find the values at which the points of inflection occur.
(Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there
are no inflection points.)
X =
Determine the interval on which f is concave up.
(Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞ 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.)
XE
Determine the interval on which is concave down.
(Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞o 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.)
XE
Transcribed Image Text:Let f(x) = x²+21 Find the critical points c that correspond to local minima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) C = Find the critical points c that correspond to local maxima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) C = Find the values at which the points of inflection occur. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no inflection points.) X = Determine the interval on which f is concave up. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞ 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.) XE Determine the interval on which is concave down. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞o 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.) XE
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