1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Logarithmic Differentiation

  1. Apr 6, 2005 #1
    Can someone please differentiate this [itex] \!\(Log\\_2\[[x^3 + 1][/itex]
    im stuck because its base 2
     
  2. jcsd
  3. Apr 6, 2005 #2
    Remember that [tex]\log_a{x}=\frac{\log_b{x}}{\log_b{a}}[/tex]
     
  4. Apr 6, 2005 #3
    so is this my next step? and then do i use quotient rule?
    [tex]\log_2{(x^3+1)}=\frac{\ln{(x^3+1)}}{\ln{2}}[/tex]
     
  5. Apr 6, 2005 #4
    You don't need the quotient rule because ln2 is a constant.
     
  6. Apr 6, 2005 #5
    so is the the answer then?
    [itex]3x^2/(x^3+1)[/itex]
     
  7. Apr 6, 2005 #6

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    He used the chain rule just fine.

    He just forgot how to deal with a constant multiple. Hint: what's the derivative of 6 x^2?
     
  8. Apr 6, 2005 #7
    ah, thanks
    [itex]3x^2/(x^3+1)Ln2[/itex]
     
  9. Apr 6, 2005 #8

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    And [itex] \ln 2[/itex] should be there somewhere.In the denominator,to be precise.

    And the thread title,to be accurate,should have been "logarithm('s) derivative"...

    Daniel.
     
  10. Apr 6, 2005 #9

    SpaceTiger

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    I deleted my response because he changed his post before I submitted, or it displayed incorrectly on my browser.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Logarithmic Differentiation
  1. Rules of logarithms (Replies: 2)

  2. Logarithm Question (Replies: 1)

  3. Logarithm question (Replies: 24)

  4. Logarithms problem (Replies: 2)

Loading...