L'Hopital rule indeterminate form involving both x and y

[JohnHavoc1]

midnighttutor...catchy i like it :)

[sandy2bcooler]

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

[Trcls]

what does x approach?

[commyforever]

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?

[midnighttutor]

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.

[Coolwhip786]

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.

[SupDodo]

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.

[townshop123]

equals..what :|

[townshop123]

hardest math evah..

[srn347]

How about x^x=5?

[Twokubikmeter]

I would have preferred him to use Taylor polynomials.

[smartjoe2490]

the limit stayed on the left hand side rewriting it is only needed if manipulating left hand side. the equals sign on with nothing on the left hand sign indicates that it never changed

[bkjoelover]

big mistake at 2:50... you NEVER remove the "lim" sign before you apply it.

[bodinsoul]

he does that also at 1:50, i don't know why he doesn't write lim

[asjfjas]

very useful ;)

[bkjoelover]

i swear this guy wears the same shirt in every video.

[che8ter]

thanks!