The Fundamental Theorem of Calculus


Introduction

If f(x) is continuous on [a,b],then the funcion

has a derivative at every point in [a,b], and

Applet

How to use this applet

1.Check "Unconstant function" or "Constant function".
2.Press "Increase x" or "Decrease x" button.
3.Press "Increase dx" or "Decrease dx" button.
4.Press "Next" button to go to next step.
5.Press "Limit" button to watch dS/dx.