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Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. f(x)=x³ + 12x² What is (are) the critical point(s) of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) is (are) x = 0, -8. (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. There are no critical points for f. What is/are the local minimum/minima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local minimum/minima of f is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. There is no local minimum of f.

Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. f(x)=x³ + 12x² What is (are) the critical point(s) of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) is (are) x = 0, -8. (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. There are no critical points for f. What is/are the local minimum/minima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local minimum/minima of f is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. There is no local minimum of f.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. f(x)=x³ + 12x² What is (are) the critical point(s) of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) is (are) x = 0, -8. (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. There are no critical points for f. What is/are the local minimum/minima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local minimum/minima of f is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. There is no local minimum of f.
Transcribed Image Text:Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. f(x)=x³ + 12x² What is (are) the critical point(s) of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) is (are) x = 0, -8. (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. There are no critical points for f. What is/are the local minimum/minima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local minimum/minima of f is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. There is no local minimum of f.
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