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L'Hopital rule indeterminate form involving both x and y

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Uploaded by on Feb 25, 2007

See all of our latest tutorials at www.midnighttutor.com. How to solve an indeterminate limit using L'Hopital's rule in a case where the problem statement contains both x and y....only a small trick to try and disguise something very easy...

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Uploader Comments (midnighttutor)

  • when you're taking the derivative of (x+y+2)^(1/2) you take the derivative of the y and the 2 with respect to y but what happens to the x? Implicit differentiation? should there not also be a dx/dt in there?

  • No it is not assumed that y is a function of x or vice-versa. x is just a constant. Also at no time did a t term ever come up so not sure where you are getting that.

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All Comments (16)

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  • midnighttutor...catchy i like it :)

  • thank you now i got how to solve the indeterminate limits thnkx!!!!!!!!

  • what does x approach?

  • No, you should take the derivative of (x+y+2)^(1/2) with respect to y, so it's the same as the derivative of (constant + y)^(1/2) with respect to y so you would get what he said.

  • No, I think he's confusing it with related rates but when I do that differentiation you did with respect to y, I get the same thing so you are in fact, correct my good man.

  • equals..what :|

  • How about x^x=5?

  • hardest math evah..

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