Consider the function below. x2 f(x) : x2 - 25

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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Consider the function below.
x2
f(x) :
.2
25
Transcribed Image Text:Consider the function below. x2 f(x) : .2 25
Find the interval where the function is concave up. Find the interval where the function is concave down.
Step 1
)-(-50»)|[26«² - 25)(
x)
x2 +
(a? – 25)*(
50
-50x
Since f'(x)
then f"(x)
%D
(x² – 25)²'
(x² – 25)
(x2 – 25)
Transcribed Image Text:Find the interval where the function is concave up. Find the interval where the function is concave down. Step 1 )-(-50»)|[26«² - 25)( x) x2 + (a? – 25)*( 50 -50x Since f'(x) then f"(x) %D (x² – 25)²' (x² – 25) (x2 – 25)
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