Cramster.com - Homework Solutions, Lecture Notes, Exams, and Free Online Homework Help
Sign Up Now! Login Customer Support Cramster Blog
McAfee Secure sites help keep you safe from identity theft, credit card fraud, spyware, spam, viruses and online scams
Problem Solved.
    Home    
    Homework Help    
   Answer Board   
    Resources (Beta)    
   
You Are Here: Home > Answer Board > Calculus > Topic: Diff and Simplify, Find f'(c)=0: Will rate life saver...
Member's Topic Headline:

Diff and Simplify, Find f'(c)=0: Will rate life saver if answered

Know the answer? Have a better solution? Share it.
Sign Up Now for FREE!
Join the thousands of students
getting ahead in their classes.
Member Testimonials

Question:

Advertisement:
Answer | Ask New Question | Customize Profile | Leaderboards | 
FAQ

Member's Avatar
Scholar
Karma Points: 200
Respect (51%):
Date Posted: 7/24/2008 2:03:46 AM  Status: Live
Diff and Simplify, Find f'(c)=0: Will rate life saver if answered
Course Textbook Chapter Problem
N/A N/A N/A N/A
Question Details:
Diff and Simplify: and then with the derivative find where it is = to 0. 
Bonus Point Alert! Earn +4 additional karma points for helping this annual member.

Answers:

Member's Avatar
Sage
Karma Points: 5,455
(Melbourne University)
Date Posted: 7/24/2008 2:11:35 AM  Status: Live
Asker's Rating: Lifesaver   
Response:
Y=
DY/DX= 2.-SINX.COSX+COSX

 DY/DX=-2SINXCOSX+COSX=0
 DY/DX=COSX(1-2SINX)=0

COSX=0..............................>..................................>WHERE N IS AN INTEGER
1-2SINX=0....................................>SINX=1/2................................>X=...................WHERE N IS AN INTEGER

Member's Avatar
Guru
Karma Points: 1,730
(University of Kentucky)
Date Posted: 7/24/2008 2:19:53 AM  Status: Live
Asker's Rating: Helpful   
Response:
Given    we have (using the Product Rule)...
 
 
Setting the derivative equal to zero and solving for  gives....
 
 
So we see the derivative is equal to zero if ...
 
  and if 
 
Taking the first one we see that   for all  with    a positive or negative odd integer.
 
Taking the second we see that   or   which is true for all values of
such that   with   = 1, 5, 17, 21, 33, 37, .........
 
Hope this helps!
 
Jonathan
Jonathan Ross
University of Kentucky
B.A. Mathematical Economics

Member's Avatar
Oracle
Karma Points: 55,117
Date Posted: 7/24/2008 5:05:13 PM  Status: Live
Asker's Rating: This answer has not been rated. If you asked this question, then please login.   
Response:
------------------------
------------------------
Thus, from [0, 2pi]...
 
 
 
 

 



By reading or posting messages on these forums, you are agreeing to the Answer Board's Terms of Service and Conduct (TSC).


About Cramster | Terms of Use | Privacy Policy | Contact Us | Press Room | Site Map | Support | Anti-Cheating Policy

Cramster.com is not affiliated with any publisher. Book covers, title and author names appear for reference only.
Copyright © 2008 Cramster, Inc.