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Let f(x) = x²30 Find the critical points c that correspond to local minima.

Let f(x) = x²30 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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Let f(x) = 30- Find the critical points c that correspond to local minima. (Use symbolic notation and fractions where needed. Give your answer the form of a comma separated list. Enter DNE if there are no critical points.) 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.) Find the values at which the points of inflection occur. (Use symbolic notation and fractions where needed. Give your answer the form of a comma separated list. Enter DNE if there are no inflection points.) 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.) XE 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 Øif the interval is empty.) XE
Transcribed Image Text:Let f(x) = 30- Find the critical points c that correspond to local minima. (Use symbolic notation and fractions where needed. Give your answer the form of a comma separated list. Enter DNE if there are no critical points.) 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.) Find the values at which the points of inflection occur. (Use symbolic notation and fractions where needed. Give your answer the form of a comma separated list. Enter DNE if there are no inflection points.) 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.) XE 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 Øif the interval is empty.) XE
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