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anonymous
 5 years ago
how do you find the log of a square root?
anonymous
 5 years ago
how do you find the log of a square root?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0log sqrt(x) = log x^(1/2) = (1/2)logx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, I have the log of the square root of x^2 +2 ?????

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, then log sqrt(x^2 + 2) = log (x^2 + 2)^(1/2) = (1/2)log (x^2 + 2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you know how to find the derivative of it?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, use the following, d/dx(logu) = 1/ulna

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0let u = x^2 + 2, then y = logu^(1/2) = (1/2)logu = (1/2)/ulna = (1/2)/(x^2 + 2)lna

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0u did not specify base a however

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0its the application of the chain rule to the derivative of a logarithm with base a , provided a > 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i do not even know what you mean by that. the whole problem is to differentaite x^5 divided by (110x)(sqrt ofx^2 +2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok so u want me to differentiate x^5/(110x)(sqrt(x^2 + 2))?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0srry, i thought u wanted me to to differentiate log sqrt(x^2 + 2) my bad

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes but I need to know specifically how to do the expression involving the square root. I cannot understand that; maybe it's the algebra involved to figure it out? /can you do the whole problem, focusing on how you get the derivative of the square root?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ur my last client for this morning, i gotta go shower after this

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well I sure am glad I found you! Thanks!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok since, this is an ugly problem for application of the quotient rule, we r going to let y equal the expression and take the natural log of both sides

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I need to find the derivative of x^5/(110X)(sqrtx^2+2) using logs.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0My problem is the expression with the sqrt in it. the others I am comfortable with finding, but that sqrt is killing me!

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[\frac{x^5}{110x}*\sqrt{x^2 +2}\] is this the equation? or is that sqrt stuck under the bar?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the square root is stuck under the bar next to the (110x)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0got it..... and why do we have to use logs to do this? is that in the directions? or something you thought might help?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it was in the instructions to do so.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0are they? I am so new to this, 2 weeks into calc and I think the objective was teach us logs and how to differentiate them using all the forms of expressions possible.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[\frac{\log(x^5)}{\log[(110x)(\sqrt{x^2+2})]}\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0anything with an exponent gets dragged to the fron....like this: 5 log(x) ..... that takes care of the top right? or at least is a step we can take..now for th e bottom

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0log(ab) = log(a) + log(b) sooooo..... log(110x) + log[sqrt(x^2 +2)] right so far?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0do you recall that radicals such as squaree roots and cube roots and the like are fraction exponentes? sqrt(4) = 4^(1/2) = 2 right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0good; and after all that work i see a mistale that my brain made lol.... we first need to take the log of the whole entire fraction; not portions of it :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0then we can split it up lol

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[\log(\frac{a}{b*c}) = \log(a)[\log(b)+\log(c)]\] like this :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I trust you! go on! brain mistakes are allowed! ; )

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[5 \log(x)  [\log(110x) + \frac{1}{2}\log(x^2+2)]\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[5 \log(x)  \log(110x)  (1/2)\log(x^2+2)\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0thats as basic as you can get it; now take the derivatives :) and the "log" part doesnt have to be "log" it can also be "ln"; the natural log...ln migh tmake life easier with derivatives

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[Dx[5 \ln(x)  \ln(110x)  \frac{1}{2}\ln(x^2+2)]\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.05/x  1/(110x)  1/(x^2+2)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the derivative of ln(x) = Dx/x

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0that second term should be: 10/(1+10x) then :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0.....ack!!! +10/(110x) ill get it right eventually lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0youre great! Pls don't apologize!

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0did it make sense what I did :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so far it makes sinse except where you said that it was a +10. I thought the whole equation was the expression another expressionanother expression. Why the +?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the middle term in logs is :  ln(110x) the derivative of ln(....) is: the derivative of (....) derivative of (110x)  =  (....) (110x) the second term the becomes.... dont forget the initial () in fron of it 10x   = +10/(110x) :) (110x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok it's the "negative minus a negative gives a positive" thing, right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, let's move to the sqrt thing...I cannot stand the suspense!

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.02 negative always gives a positive; 5(3) = 15 73 = 10 6/3 = 2 6 2 = 8....except for that one lol

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the sqrt became the thrid term:  1/2 ln(x^2+2) right? which derives to... 1 2x    = x/(x^2+2) right? 2 (x^2+2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no how did you get that?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0tell me the last part that makes sense to you and i can unravel the mystery from there :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i understand where you got the third term 1/2 ln(x^2+2), but finding the derivative of it is where I am baffled.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i had to switch to firefox, IE acts wierd on this site

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0ok.... Do we have to derive the 1/2 part? or can we pull it aside and leave it alone?... visually that is.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0D(5a^2) = 5 D(a^2) = 5 (2a) = 10a right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0leave it alone visually is fine. I understand that it has to be put back in when we are done.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0good; then lets derive the ln(x^2+2) part :) D(x^2 +2)  right? so all we really have to do is derive the top (x^2 +2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0OMG! I get it!!!!!!!!!!!!!!!!! Can I try to explain it you so I know for sure?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, give me a minute to write it all down then type it to you, but I am going to work only with the sqrt expression since that was the one giving me trouble. Can you hold for like 2 minutes?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, here goes. i will do my best with the ^ sign and stuff, ok? Are yo with me? Here goes:::::: d/dx(ln(x^2+2)^1/2) = 1/2(ln(x^2+2)) = 1/2(1/x^2+2)d/dx(x^2+2) = 1/2(1/x^2+2)(2x) = 2x/2(x^2+2) = (after canceling out the 2) x/(x^2+2) Am I right? Is that the derivative of the natural log of the sqrt of x^2+2?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0that is very good :) except for the spurious () sign which is just a result of it being the third term subtracted from the others... it looks like you got a handle on it :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0should the 1/2 be then positive or negative?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0it should be positive since if it were standing all alone by itself: Dx[ln(x^2+2)^(1/2))] = Dx[(1/2) ln(x^2+2)] = 1/2 Dx(ln(x^2+2)) 1/2 2x/x^2+2 the 2s cancel to give you... x/(x^2 + 2) :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you, thank you, thank you!!! You helped me when no one else could make me understand! Can I give yuou a medal for this?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0you can if you want ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how do I do that exactly?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0you night have to press your refresh button on your browser...its usually just the f5 button on te keyboard. That will refresh the page and allow you to see a "give medal" option next to my name :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, IO will do that now, although I agree that IE is weird with this; the page kept scrolling up and down on its own! i like Firefox so much better, but MathXL only works with IE.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0is MathXL a program you are working with?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0did the refresh work out for you?
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