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|dw:1354339128951:dw|

is that x+1/n+1/x+1/x to infinity?

Here's the printed question,just if its not clear

If "this" is true,then prove that (x^2-y^2+3)dy/dx=1

To prove:
\[(x^{2}-y^{2}+3)\frac{dy}{dx}=1\]

use this \[Y=X+\frac{ 1 }{ Y }\]

find the derivative by implicit differentiation

also you can substitute x at the place where you have to prove a desired result

please ellaborate,I'm doing this type of question first time

yeah i got that,what next

Ahh, that's clever sirm3d, makes sense now. I couldn't figure this one out.

LHS --- left hand side
RHS--- right hand side

lol i know that

lol

oops, the derivative of the RHS is \[\large 1 - \frac{ 1 }{ y^2 }(dy/dx)\]

what did u do with 1/y

\[\large \frac{ 1 }{ y }=y^{-1}\]

he differentiated it , implicitly

how did u get y^2

\[\frac{ dy (x^n) }{ dx }=nx^{n-1}\]

by power rule and chain rule, the derivative of y^(-1) is \[-1y^{-2} \frac{ dy }{ dx }\]

i know that too ! :o

okay whats the last step?

equate the derivative of the LHS to the derivative of the RHS, then group terms with (dy/dx)