Fun Mathematics 6 - Continuous and Differentiable Functions (4/5)
Channel: Pavel Klavík
Date: 2012-02-09

We are going to talk about definitions and basic properties of continues and differentiable function, in as visual manner as possible. These basics tools will be used in the next lecture on Taylor's polynomial.

For continues functions, we prove basic theorems of intermediate values (sorry for little messed up proof) and extremas. 

For differentiable functions, we show some basic properties of derivations and proof theorem of Rolle and its consequences known as mean value theorems.

The complete end which was removed does not contain anything, just "Thanks for watching!". I didn't wanted to make six parts of the video.