:- Let f(x) = x2 – 6x – 7 and F(x) = f(t) dt. Find the critical points of F and determine whether they are local minima or local maxima. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) local minima: local maxima: Find the point(s) of inflection of F. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) point(s) of inflection:

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...
Question
Let f(x) = x² – 6x – 7 and F(x) =
f(t) dt.
Find the critical points of F and determine whether they are local minima or local maxima.
(Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions
where needed.)
local minima:
local maxima:
Find the point(s) of inflection of F.
(Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions
where needed.)
point(s) of inflection:
Transcribed Image Text:Let f(x) = x² – 6x – 7 and F(x) = f(t) dt. Find the critical points of F and determine whether they are local minima or local maxima. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) local minima: local maxima: Find the point(s) of inflection of F. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) point(s) of inflection:
Determine the intervals where F is concave up and down.
(Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
concave up on:
concave down on:
Transcribed Image Text:Determine the intervals where F is concave up and down. (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) concave up on: concave down on:
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