Derivative

Draw a function curve with a movable point on it. Construct the tangent line to the curve at that point. Also place another point on the tangent line, and connect the two points to form a segment. Display the slope value of this segment. As the movable point slides along the curve, the tangent line and its slope change, illustrating that the derivative equals the tangent slope. Include the curve, the movable point, the tangent line, the auxiliary point, and the slope label.