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nanda082 Group TitleBest ResponseYou've already chosen the best response.0
use uv rule
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
\[y=x/\sqrt{x ^{2}+1}\]
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
well I understand part of it
 2 years ago

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

badreferences Group TitleBest ResponseYou've already chosen the best response.0
Usubstitution, yo. Or whatever they call it nowadays.
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
then gemeraal power rule
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.0
Oh, wait, derivative, not integral. XD
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
i get to this answer
 2 years ago

cuddlepony Group TitleBest ResponseYou've already chosen the best response.0
y=x/sqrt(x^2+1) Use Quenient and Chain rule
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.0
Alright, product rule of x*(x^2+1)^(1/2), (x^2+1)^(1/2)(1/2)x(2x)(x^2+1)^(3/2) Yeah.
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
\[y'=(x ^{2}+1)^{1/2}  x ^{2}(x ^{2}+1)^{1/2}/x ^{2}+1\]
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
thqats the derivative now i have to figure out how to simplify it
 2 years ago

cuddlepony Group TitleBest ResponseYou've already chosen the best response.0
is the answer
 2 years ago

cuddlepony Group TitleBest ResponseYou've already chosen the best response.0
oh crud made a mistake (sqrt(x^2+1))  x(2x/2sqrt((x^(2)+1)))/(sqrt(x^2+1))^(2)
 2 years ago

cuddlepony Group TitleBest ResponseYou've already chosen the best response.0
that is the answer
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
because the final answer in the back of the book is \[1/\sqrt{(x ^{2}+1)^{3}}\]
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
thats the answer the book gives me
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
i know my first answer is correct but not simplified
 2 years ago

cuddlepony Group TitleBest ResponseYou've already chosen the best response.0
simplify
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
if i understood how to simplify it I wouldnt be here
 2 years ago

cuddlepony Group TitleBest ResponseYou've already chosen the best response.0
fair enough :) i will help or try to my battery is about to die
 2 years ago

cuddlepony Group TitleBest ResponseYou've already chosen the best response.0
( (sqrt(x^2+1))  x(2x/2sqrt((x^(2)+1))) )/(sqrt(x^2+1))^(2) = ( (sqrt(x^2+1))  (x/sqrt(x^(2)+1)) )/ (sqrt(x^2+1))^(2) = (sqrt(x^2+1)) / (sqrt(x^2+1))^(2)  ( (x/sqrt(x^(2)+1)) / (sqrt(x^2+1))^(2) ) = 1 / (sqrt(x^2+1))^(2)  ( (x/sqrt(x^(2)+1)) / (sqrt(x^2+1))^(2) )
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.0
Truly, simplification and algebraic manipulation are the difficult parts of calculus; not the class' own namesake.
 2 years ago

Mimi_x3 Group TitleBest ResponseYou've already chosen the best response.0
Lol, yes it is in the quotient rule, thats why i hate it. xD
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
somehow it simplifies to
 2 years ago

cuddlepony Group TitleBest ResponseYou've already chosen the best response.0
1 / (sqrt(x^2+1))^(2)  ( (x/sqrt(x^(2)+1)) / (sqrt(x^2+1))^(2) ) = 1 / (sqrt(x^2+1))^(2)  x(sqrt(x^2+1))^(2) )/sqrt(x^(2)+1) = 1 / (sqrt(x^2+1))^(2)  x(sqrt(x^2+1))/1
 2 years ago

cuddlepony Group TitleBest ResponseYou've already chosen the best response.0
1 / (sqrt(x^2+1))  x(sqrt(x^2+1)) sorry made a mistake
 2 years ago

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

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
/x^2+1) oops
 2 years ago

cuddlepony Group TitleBest ResponseYou've already chosen the best response.0
But yeah try multiplying both the top and the bottom by the conjugate: (x(sqrt(x^2+1))^(2) + 1) but as far as I would go to simplify this would be it it ( x(sqrt(x^2+1))^(2)  1 )/(sqrt(x^2+1))
 2 years ago

MarinaDL Group TitleBest ResponseYou've already chosen the best response.0
for final answer power in denominator should be 3/2
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
\[(\sqrt{x ^{2}+1}  x^2/\sqrt{x^2+1})/(x^2+1)\]
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
\[(x^2+1x^2)/\sqrt{x^2+1}/x^2+1\]
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
\[1/(x^2+1)(\sqrt{x^2+1})\]
 2 years ago

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

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
because the final answer should be 1/sqrt(x+1)^3
 2 years ago

MarinaDL Group TitleBest ResponseYou've already chosen the best response.0
http://www.wolframalpha.com/input/?i=y%3Dx%2Fsqrt%28x%5E2%2B1%29+find+derivative
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
i understand that marina same thing i have there
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
(x+1)^2/3 = sqrt((x+1)^2)
 2 years ago

Diyadiya Group TitleBest ResponseYou've already chosen the best response.2
you're right y\[(x^2+1) \sqrt{x^2+1}= (x^2+1)(x^2+1)^{1/2}= (x^2+1)^{3/2}\]
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
i do believe \[(x^2+1)(\sqrt{x^2+1}) = \sqrt{(x^2+1)^3}\]
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
ok :) then the way i did that is right
 2 years ago
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