Tangent Lines

The "EPIC screen" below shows several tangent lines drawn on the graph of the function shown at the top of the EPIC screen. Tangent lines may be drawn to either F(x) or G(x), if two functions have been entered. The point of tangency may be entered from the keyboard, may be pointed to by the mouse, or may be entered "automatically" by selecting the value from a list of saved numbers, such as roots of a function, intersection points, etc.

The red tangent at x=1 is the one whose equation is shown at the top of the screen. The other two tangent lines were drawn at the approximate roots of F, as shown by the small circles near these points. These points were chosen by clicking the mouse.