Subsection CCD.NA Numerical Applications

 Newton's method for estimating roots of functions is an early numerical application of the first derivative, often visualized with graphs.
[See also the bisection method in CCD.IVT  The Intermediate Value Theorem-The Intermediate Value Theorem and The Bisection Method]

An alternative that presents a different connection to the derivative using motion is visualized with mapping diagrams.

CCD.NA.Newt. Newton's Method:


The differential or linear estimation is another early numerical application of the first derivative, often visualized with graphs. Again an alternative that presents a different connection to to the derivative using motion is visualized with mapping diagrams.

CCD.NA.Diff. The Differential Estimate