1. Not finding help here? Sign up for a free 30min 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!

Differentiation Question Concerning natural log

  1. Jan 19, 2005 #1
    Hello all

    If [tex] y = e^3^\ln^(x^2) [/tex] find [tex] \frac {dy}{dx} [/tex]

    So [tex] \frac {dy}{dx} =(3 (\frac {1}{x^2}) \* 2x e^3^\ln^(x^2) [/tex]

    So the simplified answer is: [tex] \frac {6}{x} e^3^\ln^(x^2) [/tex]

    Is this correct? IS there any other way of expressing the answer?

    Thanks
     
  2. jcsd
  3. Jan 19, 2005 #2

    chroot

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Use your log rules.

    [tex]e^{3 \ln x^2} \equiv e^{\ln x^6} \equiv x^6[/tex]

    - Warren
     
  4. Jan 19, 2005 #3
    oh i see

    So derivative would be [tex] 6x^5 [/tex]

    didn't catch that

    thanks
     
  5. Jan 19, 2005 #4

    chroot

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Pretty much anytime you see e and ln stuck together like that, it means your teacher is trying to get you to use log rules.

    - Warren
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Differentiation Question Concerning natural log
  1. Natural log (Replies: 17)

  2. Natural log question (Replies: 2)

Loading...