Limits and Differentiation

                                 Mathematica

Dr. Andrzej Korzeniowski
Department of Mathematics, UTA

Lesson 2

Functions and Limits

Before defining new functions (or re-using previously  used names of  variables) one needs to clear them.

To evaluate f [x] starting at x = a, ending at x = b with increment dx, use Table[{x, f [x]},{x, a, b, dx}] // TableForm.

Below are the one-sided limits of the function at point x = 2

The remedy  is to load a package that evaluates the limit  numerically.

Differentiation

There are several ways  to accomplish differentiation.

How  to graph  f(x)  together with the tangent line to f(x)  at x = a  is  shown in the example below.