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Product and quotient rule clarification

  • 03-06-2012 3:13pm
    #1
    Neodymium
    Registered Users, Registered Users 2 Posts: 179 ✭✭


    For proving the product and quotient rules, is it acceptable to prove them implicity (eg. For product rule let y=uv) or must you prove them by first principles


Comments

  • #2
    DepoProvera
    Registered Users Posts: 404 ✭✭DepoProvera


    My teacher says that the combined implicit and logarithmic proof is valid, which is sweet because it's a rather short proof and doesn't require learning off.


  • #3
    treely
    Registered Users, Registered Users 2 Posts: 85 ✭✭treely


    DepoProvera wrote: »
    My teacher says that the combined implicit and logarithmic proof is valid, which is sweet because it's a rather short proof and doesn't require learning off.

    Which one is that now?

    And where would these come up?


  • #4
    ChemHickey
    Closed Accounts Posts: 3,479 ✭✭✭ChemHickey


    My teacher said you almost have to prove it by first principles, as that's what they come up in on the paper...

    EG. 2000

    Prove, from first principles, the product rule

    2002

    Prove, from first principles, the addition rule


    If you don't do it by first principles you'll get 0marks


  • #5
    treely
    Registered Users, Registered Users 2 Posts: 85 ✭✭treely


    What are the chances of one of these coming up?


  • #6
    ChemHickey
    Closed Accounts Posts: 3,479 ✭✭✭ChemHickey


    treely wrote: »
    What are the chances of one of these coming up?

    I hope one will!!

    Likely enough I think. Quotient rule would be a beaut! (just because it's hard and I can do it :P ) but apparently it is supposedly too hard for the exam...

    Possibly product again?

    More likely that the differential rule by induction will arise


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