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ChrisV
 3 years ago
Find the derivative of the function.
y=x/sqrt(x^2+1)
ChrisV
 3 years ago
Find the derivative of the function. y=x/sqrt(x^2+1)

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

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

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

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

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

badreferences
 3 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.

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

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

cuddlepony
 3 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)

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

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

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

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

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

cuddlepony
 3 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) )

badreferences
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0Lol, yes it is in the quotient rule, thats why i hate it. xD

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

cuddlepony
 3 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

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

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

cuddlepony
 3 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))

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

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

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

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

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

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

MarinaDL
 3 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

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

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

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

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

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