anonymous
  • anonymous
differentiate power logarithmic function:
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
a what now? not familiar with that compound term there...
anonymous
  • anonymous
oh good, gonna type it :)
anonymous
  • anonymous
|dw:1344460572765:dw|

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anonymous
  • anonymous
oy... tedious use log properties first to simplify this
anonymous
  • anonymous
\[\log(x^a)=a\log x\]\[\log(\frac ab)=\log a-\log b\]
anonymous
  • anonymous
hmmm...but i'm not sure whether to use 1/xlna or 1/x
anonymous
  • anonymous
oh, i see
anonymous
  • anonymous
let me try
anonymous
  • anonymous
I love that attitude :)
anonymous
  • anonymous
:)
anonymous
  • anonymous
|dw:1344460921061:dw| ??
anonymous
  • anonymous
|dw:1344461107424:dw|
anonymous
  • anonymous
is that correct, or im missing something?
experimentX
  • experimentX
|dw:1344461330368:dw|
anonymous
  • anonymous
|dw:1344461651309:dw|
experimentX
  • experimentX
yep ... you got it. if you want to check ... plug into wolframalpha
anonymous
  • anonymous
|dw:1344461799411:dw|
anonymous
  • anonymous
somehow i'm missing a part of the numerator it seems: http://www.wolframalpha.com/input/?i=%28d%2Fdx%29%28ln%28%282x%2B1%29%2F%283x-1%29%29%29^%283%2F5%29
anonymous
  • anonymous
denominator*
anonymous
  • anonymous
do you know why?
experimentX
  • experimentX
http://www.wolframalpha.com/input/?i=differentiate+ln%28%28%282x%2B1%29%2F%283x-1%29%29^%283%2F5%29%29
anonymous
  • anonymous
oh, wow, thanks!!! so, basically, whenever i need to find the derivative of a power logarithmic function, i first apply the logarthmic properties as to get rid of the exponent, right?
experimentX
  • experimentX
yep ... try to make things as easy as possible.
anonymous
  • anonymous
that's awesome!! thanks! :)
experimentX
  • experimentX
yw .... try putting input into right format. to check if it's right or wrong ... just check input interpretation.
anonymous
  • anonymous
yes, thanks. it's easier when they give the symbols. I was guessing. I didnt know i could just type "differentiate". can i type "integrate" too?
anonymous
  • anonymous
i have little time using that website. i guess i need to figure out how to use it correctly
experimentX
  • experimentX
yep ... you can. http://www.wolframalpha.com/input/?i=integrate+1%2Fx&lk=4&num=2
anonymous
  • anonymous
wow, that's great. thanks a lot for ur help!!

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