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8. Sign analyze f"(x). h. Find all x-values where the graph is concave down. Use interval notation and justify your answer. i. Find the inflection point of f (as a coordinate pair.) Justify your result.

8. Sign analyze f"(x). h. Find all x-values where the graph is concave down. Use interval notation and justify your answer. i. Find the inflection point of f (as a coordinate pair.) Justify your result.

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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I only need the answers for g, h, i, and j.

f. Find f"(x). g. Sign analyze f"(x). h. Find all x-values where the graph is concave down. Use interval notation and justify your answer. i. Find the inflection point of f (as a coordinate pair.) Justify your result. j. Based on the work you did above, sketch a graph of f.
Transcribed Image Text:f. Find f"(x). g. Sign analyze f"(x). h. Find all x-values where the graph is concave down. Use interval notation and justify your answer. i. Find the inflection point of f (as a coordinate pair.) Justify your result. j. Based on the work you did above, sketch a graph of f.
1. Consider the function f(x) = x³ – 3x². %3D a. Sign analyze f (x). b. Find the derivative, f'(x). c. Sign analyze f'(x). d. From your work above, find the x-value where there is a local maximum. Justify your answer. e. From your work above, find the x-value where there is a local minimum. Justify your answer.
Transcribed Image Text:1. Consider the function f(x) = x³ – 3x². %3D a. Sign analyze f (x). b. Find the derivative, f'(x). c. Sign analyze f'(x). d. From your work above, find the x-value where there is a local maximum. Justify your answer. e. From your work above, find the x-value where there is a local minimum. Justify your answer.
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