anonymous
  • anonymous
If y^2-2xy=21, then dy/dx at the point (2,-3) is
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
implicit differentiation 2yy'+0xy-2y-2xy'=0 2yy'-2xy'=2y yy'-xy'=y y'(y-x)=y y'=y/(y-x)
anonymous
  • anonymous
plug in your values
anonymous
  • anonymous
can u explain how u do implicit diff. ?

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anonymous
  • anonymous
im kinda bad at it
anonymous
  • anonymous
use the chain rule whenever you take the derivative of y with respect to x: for example, dy/dx (y^3)=3y^2y'
anonymous
  • anonymous
so when u differentiate, u put y' to show it was differentiated?
anonymous
  • anonymous
dy/dx y=y'
anonymous
  • anonymous
the chain rule is u multiply derivative of inside* outside + inside*derivative of outside, right?
anonymous
  • anonymous
think you are talking about the product rule
anonymous
  • anonymous
oh sorry so how do u use the chain rule?
anonymous
  • anonymous
that wasn't a very good explanation lol look here http://en.wikipedia.org/wiki/Chain_rule
anonymous
  • anonymous
so how did u know to use teh chain rule becuase here it isnt a compostion of funtions
anonymous
  • anonymous
think \(y=f(x)\)
anonymous
  • anonymous
\[y^2-2xy=21\] \[f^2(x)-2xf(x)=521\]
anonymous
  • anonymous
\[2f(x)f'(x)-2f(x)-2xf'(x)=0\] more easily written as \[2yy'-2y-2xy'=0\]
anonymous
  • anonymous
ok i see that
anonymous
  • anonymous
|dw:1333423205454:dw|
anonymous
  • anonymous
Thanks for all the steps....sorry sumtimes when steps are skipped i dont fully understand teh explanation but this is a really good explanation
anonymous
  • anonymous
THANKS EVERYONE! =)
anonymous
  • anonymous
np

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