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