Derivatives of Quadratic Functions

This example demonstrates the concept of derivatives of quadratic functions and their geometric significance. By constructing the quadratic function graph and calculating its derivative, students can understand the derivative as the slope of the tangent line. Key mathematical concepts include derivatives, function graphs, and geometric construction. The construction involves GeoGebra commands such as Textfield, InputBox, and f to create the quadratic function and derivative expressions. Suitable for high school students learning calculus fundamentals or for mathematical teaching demonstrations.