Derivatives and Tangent Lines

This example illustrates the concepts of derivatives and tangent lines. By observing the derivative f'(a) at a specific point a on the function f, we can obtain the tangent line at that point. The construction involves objects such as the function f, its derivative f', point a, the tangent line T_{f(a)}, and points A and B. GeoGebra commands used include function, derivative, point, and tangent line. Suitable for high school mathematics education and learning about derivatives.