How to Graph x+1/x (1 of 3: Identifying Initial Features)

[tanud]

Just loved your personality... love from India ❤️..

[marcim]

Needed this to prove (x+y)(x+z)(y+z)>=8xyz (all positive)

Autopilot algebra, divide everything by xyz
you get (x/y + y/x) + (x/z + z/x) + (y/z + z/y) >= 6

So it's the sum of three functions like these, whose minimums in positive numbers shall be 2
I used some calculus, but it's always nice to know the graph

[MeekOmni]

But what was the point where the graph turned?

[patch]

This was very helpful, helped to clear out my doubt . Thank you👍

[suchithkumar]

i am preparing For JEE advance and Watching this, but this seems to be a higher studies concept in U.S

[lavishagera]

you are an amazing teacher but since the video was recorded while you were teaching in a classroom i found your pace rather slow. It would be a lot more helpful if you kept your videos brief hence shorter. Thanks :)