The Derivative as a Function

What can you learn?

We are tracking the value of the slope of the tangent line of the blue function at point A. As point A moves along the function, the value of the slope of the tangent line is shown in orange, and this value is also being traced by point B. Point B creates the green function, which is the derivative of the original blue function. The green function is a function which can give the value of the derivative of the blue function, at any point.

The Derivative as a Function