Slope of Tangent to Parabola

This example demonstrates the calculation and visualization of the slope of a tangent line at any point on a parabola. It involves core mathematical concepts such as parabola equations, derivatives, limits, and slopes. The construction uses GeoGebra commands Tangent and Slope, with objects like function f, parameter a, point A, auxiliary function g, parameter b, and point B. It is suitable for high school and above students studying calculus and analytical geometry to understand the geometric meaning of derivatives.