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

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

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

amistre64
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.11/ln(2) is a constant; nothing changes about it ... so

amistre64
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0Ah, the 1/ln2 is a constant. Good insight. Thank you, @amistre64.

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

amistre64
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0I think the key to this one for me was recognizing that constant.

FreeTrader
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1i would, seeing how its a product ;)

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

amistre64
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1good to do and stuff ... cant type

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

amistre64
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0And reviewing precalc daily!

FreeTrader
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks, best wishes.
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