Visualization of First and Second Derivatives: Slope, Tangents, and Concavity

This GeoGebra example visualizes the relationship between a function f and its first derivative g. It demonstrates core calculus concepts including derivative definition, tangent slope, and concavity. Construction utilizes Derivative commands to generate g, Point objects to mark tangency, Tangent lines to show local slope, and Slope tools to display numerical values dynamically. Ideal for high school or college calculus students to grasp the geometric interpretation of derivatives and second derivatives.