Let f(x) = 6x²(x – 1) + 10. %3D Find the critical points c that correspond to local minima.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let f(x) = 6x²(x – 1) + 10.
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 =
Cende ntele
Dubliehar WIL
Creo
Transcribed Image Text:Let f(x) = 6x²(x – 1) + 10. 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 = Cende ntele Dubliehar WIL Creo
Find values at which the points of inflection occur.
(Use symbolic notation and fractions where needed. Give your answer as a comma separated list. Enter DNE if there are no
points of inflection.)
X =
Determine the interval on which ƒ is concave up.
(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.)
x E
Transcribed Image Text:Find values at which the points of inflection occur. (Use symbolic notation and fractions where needed. Give your answer as a comma separated list. Enter DNE if there are no points of inflection.) X = Determine the interval on which ƒ is concave up. (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.) x E
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