A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Find the derivative of the function.
y=x/sqrt(x^2+1)
anonymous
 4 years ago
Find the derivative of the function. y=x/sqrt(x^2+1)

This Question is Closed

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well I understand part of it

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0then gemeraal power rule

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Oh, wait, derivative, not integral. XD

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

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

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

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

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

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thats the answer the book gives me

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

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0fair enough :) i will help or try to my battery is about to die

anonymous
 4 years ago
Best 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) )

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

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0somehow it simplifies to

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.01 / (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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.01 / (sqrt(x^2+1))  x(sqrt(x^2+1)) sorry made a mistake

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0But 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))

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

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

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

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

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

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

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

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

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

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

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok :) then the way i did that is right
Ask your own question
Sign UpFind more explanations on OpenStudy
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.