Question

Mean value theorem question

Answer 1

http://imgur.com/SDAHRpm

Answer 2

To show c in (a,b) yes you can show that c>a and c<b.

Answer 3

why the mvt?

Answer 4

Or rolle's theorem. I always confuse between the two lol.

Answer 5

it is obvious that \(\frac{x}{1+x^2}<\frac{1}{2}\) if \(x\geq 1\) right?

Answer 6

How would I go about doing that though? Kinda stuck...

Answer 7

Yes this is true.

Answer 8

What next though?