A community for students.
Here's the question you clicked on:
 0 viewing
FreeTrader
 4 years ago
Can you help me understand how to differentiate involving logarithms? Please see the Q for an example...
FreeTrader
 4 years ago
Can you help me understand how to differentiate involving logarithms? Please see the Q for an example...

This Question is Closed

FreeTrader
 4 years ago
Best ResponseYou've already chosen the best response.0\[f(x) = x^2\log_{2} (x^2+1)\]

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1the log2 is best viewed as ln(x^2+1)/ln(2)

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1since 1/ln(2) is a constant, all thats left is to consider this as a usual ln(u) type issue

FreeTrader
 4 years ago
Best ResponseYou've already chosen the best response.0I 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.

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.11/ln(2) is a constant; nothing changes about it ... so

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1remove it, stick it to the side, put a stick note on top ot it and work the rest of the problem

FreeTrader
 4 years ago
Best ResponseYou've already chosen the best response.0Ah, the 1/ln2 is a constant. Good insight. Thank you, @amistre64.

FreeTrader
 4 years ago
Best ResponseYou've already chosen the best response.0what is a stick note?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1sticky note is what thats spose to be, a post it note, something to remind you not to forget about it in the end :)

FreeTrader
 4 years ago
Best ResponseYou've already chosen the best response.0I think the key to this one for me was recognizing that constant.

FreeTrader
 4 years ago
Best ResponseYou've already chosen the best response.0Would I then use the product rule against the remaining terms x^2 and ln(x^2+1) ?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1i would, seeing how its a product ;)

FreeTrader
 4 years ago
Best ResponseYou've already chosen the best response.0Sometimes all the new stuff to learn can create uncertainty of the obvious.

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1yeah, im dong that with existence and uniquenes thrms right now wondering what gppd to do and stuff

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1good to do and stuff ... cant type

FreeTrader
 4 years ago
Best ResponseYou've already chosen the best response.0What class are you taking at this time?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1im in college going to take linear algebra, calc3, and diffy qs in the spring

FreeTrader
 4 years ago
Best ResponseYou've already chosen the best response.0And reviewing precalc daily!

FreeTrader
 4 years ago
Best ResponseYou've already chosen the best response.0Thanks, best wishes.
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.