tangent and normal line
This simulation finds the tangent line, the normal line, shows the equations, simplifies the equations whenever it can, and graphs both. You can activate and deactivate the normal and tangent lines.
tangent and normal line
A Function, Its Inverse Relation and Their Tangent Lines
Visualize a function and its inverse relation. Note the point on the function (open dot) and point on the inverse relation (red) are related. Also, the tangent line for the point on the function graph is related to the tangent line on the inverse relation graph.
Grab the open dot to manipulate the "test" point on the function graph. Its counterpart on the inverse relation will move accordingly. Each dot actually "mirrors" the position of the other with respect to the y = x line.