Basic Calculus Connections: Derivatives, Integrals, and Tangents

This GeoGebra applet demonstrates the fundamental connections between derivatives, integrals, and tangent lines in calculus. Key concepts include function graphs, slope of tangents, definite integral areas, and 3D vectors. Construction utilizes Point, Tangent, Integral, Vector, and Segment commands to create interactive objects like point P, function f, tangent line, and area display. Ideal for high school or college students visualizing calculus theorems and geometric interpretations.