Homework Help is Here – Start Your Trial Now!
Math
Calculus
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 =

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 For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
See similar textbooks
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer