Problem:
Graphically explore the linear approximation of the function
y = f(x) = x3 - 5x + 6
using the tangent line at x = a for various values of a.
Visualization:
Use the following Mathview Notebook which begins with the tangent line at
x = a = 1 to zoom in at the point (1, 2) to see how well the
graph of the tangent line approximates the graph of f.
You can change the value of a and the function f.
View an animation to see how this can be done.