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

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

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

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

FreeTrader Group TitleBest ResponseYou've already chosen the best response.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.
 3 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
1/ln(2) is a constant; nothing changes about it ... so
 3 years ago

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

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

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

amistre64 Group TitleBest ResponseYou've already chosen the best response.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 :)
 3 years ago

FreeTrader Group TitleBest ResponseYou've already chosen the best response.0
okay, got it.
 3 years ago

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

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

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

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

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

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

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

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

FreeTrader Group TitleBest ResponseYou've already chosen the best response.0
I am taking Calc 1.
 3 years ago

FreeTrader Group TitleBest ResponseYou've already chosen the best response.0
And reviewing precalc daily!
 3 years ago

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

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
good luck :)
 3 years ago
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