This applet will graph a function and then also show the derivative of that function. Use the check boxes to show/hide the original function, the derivative, and the tangent line. You can also input your own function f(x) in the input box. The applet will trace the path of the derivative.

What is the value of the derivative when f(x) is at its absolute minimum?
What does a negative B value tell us about the direction of the original function? (B is the value of the derivative at that point)
What does your favorite trig function look like? Input a trigonometric function in the input bar.