# Net Change Theorem

## Description

Here you have a function that can be adjusted with the dots. Then you have a begin point and an end point that can be moved on the axis. The net change in from beginning to end is in the shaded area. A green shade indicates positive change, and a pink shade indicates negative change.
The point "Now" can be moved to see how the change in y acts as the "Now" position changes. The slope is shown with the brown triangle. Observe how the change in varies with a change in relative to the height of the triangle.

## The Net Change Theorem

The net change in a function over an interval is the integral of its rate of change:
The restriction is that F(x) must be Lipschitz continuous and differentiable on the closed

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