of lf" (x) [0,2] f(x)=√1+x² HINT: Much like the previous question except that you are focussing only on the max. Input your function as surd((1+x^2),2); Let your second derivative function equal abs(df2); assuming that df2 is the second derivative. Substitute your endpoints 0 and 2 into your absolute value second derivative function. Find third derivative and solve it for x. Substitute the result obtain into your second derivative absolute value function. Compare all y-values obtained for maximum value. 5) Find the maximum value of on the indicated interval.
of lf" (x) [0,2] f(x)=√1+x² HINT: Much like the previous question except that you are focussing only on the max. Input your function as surd((1+x^2),2); Let your second derivative function equal abs(df2); assuming that df2 is the second derivative. Substitute your endpoints 0 and 2 into your absolute value second derivative function. Find third derivative and solve it for x. Substitute the result obtain into your second derivative absolute value function. Compare all y-values obtained for maximum value. 5) Find the maximum value of on the indicated interval.
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...
Related questions
Question
![Find the maximum value of
of Iƒ" (x)
[0,2]
f(x)=√1+x²
HINT: Much like the previous question except that you are focussing only on the max.
Input your function as surd((1+x^2),2); Let your second derivative function equal
abs(df2); assuming that df2 is the second derivative. Substitute your endpoints 0 and 2
into your absolute value second derivative function. Find third derivative and solve it for
x. Substitute the result obtain into your second derivative absolute value function.
Compare all y-values obtained for maximum value.
5)
on the indicated interval.
6) Without the aid of a graph, find the absolute maximum and minimum values of
the function](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F213ed770-1e05-45d0-a14c-d4ecf6b20064%2F75931eea-86cb-4983-874a-9d153502e266%2Fsnt4ww5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the maximum value of
of Iƒ" (x)
[0,2]
f(x)=√1+x²
HINT: Much like the previous question except that you are focussing only on the max.
Input your function as surd((1+x^2),2); Let your second derivative function equal
abs(df2); assuming that df2 is the second derivative. Substitute your endpoints 0 and 2
into your absolute value second derivative function. Find third derivative and solve it for
x. Substitute the result obtain into your second derivative absolute value function.
Compare all y-values obtained for maximum value.
5)
on the indicated interval.
6) Without the aid of a graph, find the absolute maximum and minimum values of
the function
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