anonymous
  • anonymous
Can you help me understand how to differentiate involving logarithms? Please see the Q for an example...
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[f(x) = x^2\log_{2} (x^2+1)\]
amistre64
  • amistre64
the log2 is best viewed as ln(x^2+1)/ln(2)
amistre64
  • amistre64
since 1/ln(2) is a constant, all thats left is to consider this as a usual ln(u) type issue

Looking for something else?

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

More answers

anonymous
  • anonymous
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.
amistre64
  • amistre64
1/ln(2) is a constant; nothing changes about it ... so
amistre64
  • amistre64
remove it, stick it to the side, put a stick note on top ot it and work the rest of the problem
anonymous
  • anonymous
Ah, the 1/ln2 is a constant. Good insight. Thank you, @amistre64.
anonymous
  • anonymous
what is a stick note?
amistre64
  • amistre64
sticky note is what thats spose to be, a post it note, something to remind you not to forget about it in the end :)
anonymous
  • anonymous
okay, got it.
anonymous
  • anonymous
I think the key to this one for me was recognizing that constant.
amistre64
  • amistre64
yep
anonymous
  • anonymous
Would I then use the product rule against the remaining terms x^2 and ln(x^2+1) ?
amistre64
  • amistre64
i would, seeing how its a product ;)
anonymous
  • anonymous
Sometimes all the new stuff to learn can create uncertainty of the obvious.
amistre64
  • amistre64
yeah, im dong that with existence and uniquenes thrms right now wondering what gppd to do and stuff
amistre64
  • amistre64
good to do and stuff ... cant type
anonymous
  • anonymous
What class are you taking at this time?
amistre64
  • amistre64
im in college going to take linear algebra, calc3, and diffy qs in the spring
anonymous
  • anonymous
I am taking Calc 1.
anonymous
  • anonymous
And reviewing precalc daily!
anonymous
  • anonymous
Thanks, best wishes.
amistre64
  • amistre64
good luck :)

Looking for something else?

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