Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

FreeTrader

  • 3 years ago

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

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

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

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

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

  3. amistre64
    • 3 years ago
    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

  4. FreeTrader
    • 3 years ago
    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.

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

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

  6. amistre64
    • 3 years ago
    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

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

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

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

    what is a stick note?

  9. amistre64
    • 3 years ago
    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 :)

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

    okay, got it.

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

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

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

    yep

  13. FreeTrader
    • 3 years ago
    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) ?

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

    i would, seeing how its a product ;)

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

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

  16. amistre64
    • 3 years ago
    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

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

    good to do and stuff ... cant type

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

    What class are you taking at this time?

  19. amistre64
    • 3 years ago
    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

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

    I am taking Calc 1.

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

    And reviewing precalc daily!

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

    Thanks, best wishes.

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

    good luck :)

  24. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.