The line tangent to a curve at a point is shown along with the derivative for several functions. To change functions click the "Next" button. Move the [math]x_0[/math] point on the [math]x[/math]-axis or click the play button. As the [math]x_0[/math] point is moved a dot of the derivative at that point is shown on the lower graph. [br][br]Selecting "Show as function" will display all points of the derivative as a curve and the derivative function.

Look at each function and move [math]x_0[/math] to see that the derivative of a function is also a function.