Results 1 to 16 of 16

Thread: The Math Game

  1. #1
    Join Date
    Apr 2012
    Posts
    641

    The Math Game

    So I quite enjoy solving math equations, as do many of us and I noticed that there were no mathematics subforums.


    So let's dedicate a thread to mathematics, solving math equations to be more precise.


    Right, I will give two equations you need to solve. The two I will give will involve differentiation, one is harder than the other.


    1. Differentiate:





    2. Differentiate:





    Anyone who can solve one or both, can post a math equation to solved themselves. Enjoy!
    Last edited by Aethelwulf; 2012-Apr-29 at 02:33 PM.

  2. #2
    Join Date
    Sep 2003
    Location
    Denmark
    Posts
    18,199
    Differentiation is a simple mechanical process, no puzzle involved.
    __________________________________________________
    Reductionist and proud of it.

    Being ignorant is not so much a shame, as being unwilling to learn. Benjamin Franklin
    Chase after the truth like all hell and you'll free yourself, even though you never touch its coat tails. Clarence Darrow
    A person who won't read has no advantage over one who can't read. Mark Twain

  3. #3
    Join Date
    Apr 2012
    Posts
    641
    Puzzle is in fact the wrong terminology. These are just equations, games to solve which you can then posit an equation yourself.

    Good stimulus for the brain!

    though I expect simplification as well. Not just differentiation.

  4. #4
    Join Date
    Apr 2012
    Posts
    641
    (changed it because you are right. That was wrong using that word.)

  5. #5
    Join Date
    Apr 2012
    Posts
    641
    You'll notice the second equation requires the qoutient rule, and the chain rule. So much more comes with this than just differentiation.

  6. #6
    Join Date
    May 2005
    Posts
    5,435
    Quotient rule and chain rule are differentiation! Besides, those problems are too much like homework.

    BAUT does have a math problem thread in Fun-N-Games: http://www.bautforum.com/showthread....ath-Challenged

    What do you know? It looks like I'm up!

  7. #7
    Join Date
    Jun 2003
    Location
    SE Michigan
    Posts
    2,885
    Physics Forums has a whole math-related section.

    Fred
    "For shame, gentlemen, pack your evidence a little better against another time."
    -- John Dryden, "The Vindication of The Duke of Guise" 1684

  8. #8
    Join Date
    Apr 2012
    Posts
    641
    Quote Originally Posted by grapes View Post

    What do you know? It looks like I'm up!
    They are methods of finding derivatives... if someone said, find the derivative of you would not use the chain rule. You'd use the fundamental relations of calculus and you'd calculate as your derivative. I can assure you its not homework. Here look, I'll prove it...

    Let's see...





    The answer is then



    and viola!

    The second is a little more complicated a lot of work to go through.

    I won't go through it all with derivativation to save latex time, but I got:



    That one wasn't pretty at all. I actually had someone post me answers in a PM... I need to cross check to see if he has it right now.
    Last edited by Aethelwulf; 2012-May-01 at 12:13 PM.

  9. #9
    Join Date
    Apr 2012
    Posts
    641
    This really just was for fun... ??

  10. #10
    Join Date
    Apr 2012
    Posts
    641
    Now that I have solved it takes the fun out of it. So here is a new one:

    I would like you to write the Taylor series for the following equation:



    There is a twist to this though. I wonder if anyone will notice what it is.

  11. 2012-May-01, 04:19 AM
    Reason
    This thread was in Fun-n-Games when I posted in it.

  12. #11
    Join Date
    Aug 2002
    Posts
    7,465
    Let's see I get zero for both differentiations, taking the derivative with respect to z.
    One might want to say to which variable the differentiation needs to be done.
    All comments made in red are moderator comments. Please, read the rules of the forum here and read the additional rules for ATM, and for conspiracy theories. If you think a post is inappropriate, don't comment on it in thread but report it using the /!\ button in the lower left corner of each message. But most of all, have fun!

    Catch me on twitter: @tusenfem
    Catch Rosetta Plasma Consortium on twitter: @Rosetta_RPC

  13. 2012-May-01, 09:24 AM
    Reason
    This thread was in Fun-n-Games when I posted in it.

  14. #12
    Join Date
    Apr 2012
    Posts
    641
    Quote Originally Posted by Coelacanth View Post
    It's a polynomial, so it is its own power series
    Yes, Bravo. But then I knew you got it right because I've been speaking with you.

  15. #13
    Join Date
    Apr 2012
    Posts
    641
    Quote Originally Posted by tusenfem View Post
    Let's see I get zero for both differentiations, taking the derivative with respect to z.
    One might want to say to which variable the differentiation needs to be done.
    Sure.

    Work out all the derivatives of F at zero. The formula would look like this


  16. #14
    Join Date
    May 2005
    Posts
    5,435
    The first problem in post#1 is different than the first problem in post#8, was that intentional?

  17. 2012-May-01, 11:11 AM

  18. #15
    Join Date
    Apr 2012
    Posts
    641
    Quote Originally Posted by grapes View Post
    The first problem in post#1 is different than the first problem in post#8, was that intentional?
    Oh darnit, have I muddled up somewhere... hold on while I check everything. Thanks!

  19. #16
    Join Date
    Apr 2012
    Posts
    641
    sorry about that. That wasn't intentional at all. Fixed now. Good to see someone alert!

Similar Threads

  1. If You Know Math Then You Might Be...
    By Melusine in forum Off-Topic Babbling
    Replies: 30
    Last Post: 2006-Apr-26, 06:50 PM
  2. Bad Math
    By jadebox in forum Small Media at Large
    Replies: 2
    Last Post: 2005-Dec-14, 03:02 PM
  3. Some math help please.
    By VTBoy in forum Off-Topic Babbling
    Replies: 2
    Last Post: 2004-Nov-09, 10:53 PM
  4. More math help
    By VTBoy in forum Off-Topic Babbling
    Replies: 24
    Last Post: 2004-Oct-29, 05:28 PM
  5. Cup o' tea? Bad math on CNN
    By Bob S. in forum Small Media at Large
    Replies: 1
    Last Post: 2002-Feb-08, 05:27 PM

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  
here
The forum is sponsored in-part by: