Finding Tangent Lines:  Example 1

Completed graph with some points plotted and with attached tangent line at x = 2.

The needed formulas.


The Problem:  Find the tangent line to f at x = 2, i.e. at the point [2, f(2)] = [2, 0].

Solution:  Method 1.

Solution:  Method 2.


Finding Tangent Lines:  Example 2

Completed graph with some points plotted and with attached tangent line at x = -2.

The needed formulas.


The Problem:  Find tangent line to f at x = -2, i.e. at the point [-2, f(-2)] = [-2, 25].

Solution:  Method 1.

Solution:  Method 2.