Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

FreeTrader Group Title

Can you help me understand how to differentiate involving logarithms? Please see the Q for an example...

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[f(x) = x^2\log_{2} (x^2+1)\]

    • 2 years ago
  2. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    the log2 is best viewed as ln(x^2+1)/ln(2)

    • 2 years ago
  3. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    since 1/ln(2) is a constant, all thats left is to consider this as a usual ln(u) type issue

    • 2 years ago
  4. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I understand to start by converting the log base 2 into a natural ln base e, which leads to: \[f(x)=x^2(\ln (x^2 + 1) /\ln 2)\] I am unsure how to address the fractional term involving the ln's.

    • 2 years ago
  5. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    1/ln(2) is a constant; nothing changes about it ... so

    • 2 years ago
  6. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    remove it, stick it to the side, put a stick note on top ot it and work the rest of the problem

    • 2 years ago
  7. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Ah, the 1/ln2 is a constant. Good insight. Thank you, @amistre64.

    • 2 years ago
  8. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    what is a stick note?

    • 2 years ago
  9. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    sticky note is what thats spose to be, a post it note, something to remind you not to forget about it in the end :)

    • 2 years ago
  10. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    okay, got it.

    • 2 years ago
  11. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I think the key to this one for me was recognizing that constant.

    • 2 years ago
  12. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yep

    • 2 years ago
  13. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Would I then use the product rule against the remaining terms x^2 and ln(x^2+1) ?

    • 2 years ago
  14. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    i would, seeing how its a product ;)

    • 2 years ago
  15. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Sometimes all the new stuff to learn can create uncertainty of the obvious.

    • 2 years ago
  16. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yeah, im dong that with existence and uniquenes thrms right now wondering what gppd to do and stuff

    • 2 years ago
  17. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    good to do and stuff ... cant type

    • 2 years ago
  18. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    What class are you taking at this time?

    • 2 years ago
  19. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    im in college going to take linear algebra, calc3, and diffy qs in the spring

    • 2 years ago
  20. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I am taking Calc 1.

    • 2 years ago
  21. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    And reviewing precalc daily!

    • 2 years ago
  22. FreeTrader Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks, best wishes.

    • 2 years ago
  23. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    good luck :)

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.