Find the critical points of f(x) = x³ – 21x² + 72x and use the Second Derivative Test (if possible) to determine whether each corresponds to a local minimum or maximum. (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 local minimum of f. local minimum: f(x) = At which point does the local minimum occur? x = Find the local maximum of f. local maximum: f(x) =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Find the critical points of f(x) = x³ – 21x² + 72x and use the Second Derivative Test (if possible) to determine whether each
corresponds to a local minimum or maximum.
(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 local minimum of f.
local minimum: f(x) =
At which point does the local minimum occur?
x =
Find the local maximum of f.
local maximum: f(x) =
Transcribed Image Text:Find the critical points of f(x) = x³ – 21x² + 72x and use the Second Derivative Test (if possible) to determine whether each corresponds to a local minimum or maximum. (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 local minimum of f. local minimum: f(x) = At which point does the local minimum occur? x = Find the local maximum of f. local maximum: f(x) =
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