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KarateChopKid
Group Title
How would one differentiate the following: 2x+3/√(12x)
 2 years ago
 2 years ago
KarateChopKid Group Title
How would one differentiate the following: 2x+3/√(12x)
 2 years ago
 2 years ago

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baddinlol Group TitleBest ResponseYou've already chosen the best response.0
You can use the quotient rule.
 2 years ago

baddinlol Group TitleBest ResponseYou've already chosen the best response.0
Are you familiar with that?
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
yes I am familiar with this
 2 years ago

baddinlol Group TitleBest ResponseYou've already chosen the best response.0
so u = 2x+3 u' = 2 v = √(12x) v' = 1/√(12x)
 2 years ago

baddinlol Group TitleBest ResponseYou've already chosen the best response.0
The quotient rule says dy/dx = (u'v  uv')/v^2
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
ok and from there I begin to distribute, correct?
 2 years ago

gurvinder Group TitleBest ResponseYou've already chosen the best response.0
u can do it with quotient rule
 2 years ago

baddinlol Group TitleBest ResponseYou've already chosen the best response.0
Thats it follow (u'v  uv')/v^2
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
dw:1331119146075:dw use this this is the division rule
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
where u and v are two fuctions
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
I think that the square root in the function os throwing me off but I think that it would disappear in the deno. right? just leaving 12x on the bottom?
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
exactly. you are right. square root dissapears. THat makes the sum a lot easier
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
Thank you! I was working it out and ended with the same result.
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
One final question... how would you find the eq. of a line tangent to the graph f(x) = √(2x+9) at x=0 ?
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
take the first derivative of f(x) and equate all x to zero it gives the gradient of the tangent to the line at x=0
 2 years ago

.Sam. Group TitleBest ResponseYou've already chosen the best response.3
differentiate √(2x+9) then equate x=0 to the differentiated expression and get your gradient then create new equation using yy1=m(xx1)
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
then use y=mx+c to get the equa. of the line
 2 years ago

.Sam. Group TitleBest ResponseYou've already chosen the best response.3
to find y1 just equate x=0 to original equation, y=√(2x+9), then get your y1
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
ok I am still a little shaky on deffrentiating a radical equation, would it be 1/2x+9 ?
 2 years ago

.Sam. Group TitleBest ResponseYou've already chosen the best response.3
dw:1331120584519:dw
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
when u dof. the above one it'll be 1/(2x+9)^1/2
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
you have forgot the 1/2
 2 years ago

.Sam. Group TitleBest ResponseYou've already chosen the best response.3
1/2 cancelled by 2
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
ok so using the chain rule I use a fraction to symbolize the same radical function then move the 1/2 down and subtract by 1 to get my new power...got it
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
where did the "2" on the right come from though?
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
not that 1/2 i meant the power 1/2dw:1331120933568:dw this should be what u getting aftr dif.
 2 years ago

.Sam. Group TitleBest ResponseYou've already chosen the best response.3
Example, dw:1331120907510:dw
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
Ok, so since it was in the deno. it was risen to the 2nd power and that is how is came to cancel the 1/2 right?
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
in the orig. differentation
 2 years ago

.Sam. Group TitleBest ResponseYou've already chosen the best response.3
the 2 in the numerator when differentiating, so it will cancel the 1/2
 2 years ago

.Sam. Group TitleBest ResponseYou've already chosen the best response.3
\[\huge \sqrt{x}=x ^{\frac{1}{2}}\]
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
ok I undrstand that example in omitting the radical but where did the 2 appear to make that cancel?
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
that is what is throwing me for a loop haha
 2 years ago

.Sam. Group TitleBest ResponseYou've already chosen the best response.3
the half of 2 is 1
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
wait look at this.. this how u solve n this is whr it got cancelleddw:1331121592002:dw
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
nevermind it came as a result of the y' and omitting the 9
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
or making 2x+9 just 2 right?
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
I cant get u?
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
lol I can't get myself sometime haha but I think I understand that the 2 came as a result of taking the derivative of just 2x+9 resulting in just the 2 remaining...I think : /
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
ohh that one..wait this is clear the prob.dw:1331122282837:dw cool?
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
yea... that I what I was trying to say but I guess my wording is off. I see where the 2 came from
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
Haha thanks. So then from there I plug in my x=0 to solve for that equation
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
and then use that solution in pointslope form
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
that is correct. :) and then use thegradient equation to find the gradient...and the eq. of the line
 2 years ago

salini Group TitleBest ResponseYou've already chosen the best response.0
hey shana as u say the 2 in the denominator cannot get cancelled...
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
which gives me 3 from the graident and 1/3 for my derivative function
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
dw:1331123039074:dw
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
dw:1331123158889:dw
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
correct?
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
good deal! Thank you for all of you help and have an awesome day or night wherever you are!
 2 years ago

KarateChopKid Group TitleBest ResponseYou've already chosen the best response.0
dw:1331123407516:dw
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
hhe it'll be night :) Anytime . I love guiding others not for money but for joy. :)
 2 years ago

salini Group TitleBest ResponseYou've already chosen the best response.0
again how di u agree abt that 2 getting cancelled in the differentaition part
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
well salini, when u intergrate, the power comes to the front. ok? but when u again use the chain rule to integrate 2X u have to again multiply by 2. so they get cancelled off.
 2 years ago

salini Group TitleBest ResponseYou've already chosen the best response.0
oh yeah 2x part......
 2 years ago

salini Group TitleBest ResponseYou've already chosen the best response.0
we cant give u money here instead we give away medals!
 2 years ago

shana91 Group TitleBest ResponseYou've already chosen the best response.0
I really dont do this for money.... your medals will be highly appreciated.. I just joined today n already in level 10. :) This is a good place to give away my knowledge.
 2 years ago
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