Let f(x) = x ln(x²) - : Use the second derivative test to find the local min/max of f(x). f''(x) = At this point, you should find the critical points of f and test the sign of f'' there. f has a local max of f has a local min of at x = at x = Further, the graph changes concavity at x =

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) = x ln (x²) -
- X
Use the second derivative test to find the local min/max of f(x).
f''(x) =
At this point, you should find the critical points of f and test the sign of f'' there.
f has a local max of
f has a local min of
at x =
at x =
Further, the graph changes concavity at x =
from concave Select an answer to concave Select an answer
Now try to sketch a graph of f(x) on your own paper, noting the min, max, and inflection point(s). (Don't
worry about the x-intercepts.)
After entering your answers, click "Show Answer" or "Jump to Answer" to check your graph.
Transcribed Image Text:Let f(x) = x ln (x²) - - X Use the second derivative test to find the local min/max of f(x). f''(x) = At this point, you should find the critical points of f and test the sign of f'' there. f has a local max of f has a local min of at x = at x = Further, the graph changes concavity at x = from concave Select an answer to concave Select an answer Now try to sketch a graph of f(x) on your own paper, noting the min, max, and inflection point(s). (Don't worry about the x-intercepts.) After entering your answers, click "Show Answer" or "Jump to Answer" to check your graph.
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