Given g(x) = 2x3 + 9x² + 12x 2 A) Find the critical values of this function. List them separated by commas. x = B) Determine the intervals on which g(x) is increasing. If there is more than one interval, list them separated by commas. Use interval notation. C) Use the first derivative test or your results from above to classify each critical value as a local maximum or minimum. The smaller critical value is Select an answer The larger critical value is Select an answer D) Is g(x) concave up or concave down at x = 0? Select an answer

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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Given g(x) = 2x3 + 9x² + 12x
2
A) Find the critical values of this function. List them separated by commas.
x =
B) Determine the intervals on which g(x) is increasing. If there is more than one interval, list them
separated by commas. Use interval notation.
C) Use the first derivative test or your results from above to classify each critical value as a local maximum
or minimum.
The smaller critical value is Select an answer
The larger critical value is Select an answer
D) Is g(x) concave up or concave down at x = 0?
Select an answer
Transcribed Image Text:Given g(x) = 2x3 + 9x² + 12x 2 A) Find the critical values of this function. List them separated by commas. x = B) Determine the intervals on which g(x) is increasing. If there is more than one interval, list them separated by commas. Use interval notation. C) Use the first derivative test or your results from above to classify each critical value as a local maximum or minimum. The smaller critical value is Select an answer The larger critical value is Select an answer D) Is g(x) concave up or concave down at x = 0? Select an answer
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