Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

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

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

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

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

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

badreferencesBest 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

ChrisVBest 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

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

cuddleponyBest 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

ChrisVBest 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

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

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

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

cuddleponyBest 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

cuddleponyBest 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

badreferencesBest 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_x3Best 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

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

cuddleponyBest 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

cuddleponyBest 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

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

cuddleponyBest 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

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

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

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

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

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

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

MarinaDLBest 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

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

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

DiyadiyaBest 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

ChrisVBest 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

ChrisVBest ResponseYou've already chosen the best response.0
ok :) then the way i did that is right
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.