6. Answer the same questions as in the previous exercise for the function f(x)=e-²/2 a. Determine the concavity of the graph of f by making a sign chart of the second derivative function. b. Find all the inflection points of f. c. Determine where f is increasing and decreasing by making a sign chart of the first derivative function. d. Combine your answers to a. and b. to investigate the nature of the increasing and decreasing behavior of f. e. Verify your answers by making the graph off with your graphical calculator.

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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6. Answer the same questions as in the previous exercise for the function f(x) = e-*²/2
a. Determine the concavity of the graph of f by making a sign chart of the second derivative function.
b. Find all the inflection points of f.
c. Determine where f is increasing and decreasing by making a sign chart of the first derivative
function.
d. Combine your answers to a. and b. to investigate the nature of the increasing and decreasing
behavior of f.
e. Verify your answers by making the graph off with your graphical calculator.
Transcribed Image Text:6. Answer the same questions as in the previous exercise for the function f(x) = e-*²/2 a. Determine the concavity of the graph of f by making a sign chart of the second derivative function. b. Find all the inflection points of f. c. Determine where f is increasing and decreasing by making a sign chart of the first derivative function. d. Combine your answers to a. and b. to investigate the nature of the increasing and decreasing behavior of f. e. Verify your answers by making the graph off with your graphical calculator.
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