Real Analysis 41 | Mean Value Theorem

[@Sanguinium_Light]

3:00 Amazing. I struggled a little to find out why we define a new function as the difference of those in the graph. Thank you.

[@brightsideofmaths]

Thank you :) And thank for the support!

[@realAhmedAbdElGhany]

Great & brilliant work thanks !!

[@adoxographer]

Really helpful, thank you.

[@brightsideofmaths]

Glad to hear it!

[@JojiThomas7431]

As always, very nice

[@arturo3511]

At the very end of the video shouldn't the arrows go both way ? that is f>0 f is strictly monotically increasing? Thank you

[@brightsideofmaths]

With the correct assumptions, you can prove it :)

[@arturo3511]

@@brightsideofmaths thanks!

[@minglee5164]

For the proof of Taylor equation

[@bennicholl7643]

the application example you gave is redundant. If we already define f'(x) > 0 for all x, and x1 < x2, we already know that f(x2) - f(x1) > 0.

[@brightsideofmaths]

And why do we know that?