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Let f(x) = 7x2(x – 11) + 12. Find the critical points c that correspond to local minima.

Let f(x) = 7x2(x – 11) + 12. Find the critical points c that correspond to local minima.

Calculus: Early Transcendentals
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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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 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 Determine the interval on which f 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.) x E
Transcribed Image Text: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 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 Determine the interval on which f 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.) x E
Let f(x) = 7x²(x – 11) + 12. 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 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.)
Transcribed Image Text:Let f(x) = 7x²(x – 11) + 12. 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 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.)
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