Derivative Exploration Applet

This example demonstrates the dynamic relationship between functions, their tangent lines, and derivatives. Key math concepts include functions, tangents, slopes, and derivatives. Construction highlights involve using GeoGebra commands like Tangent, Slope, Derivative, and Textfield with objects such as f (function), a (point), T (tangent point), t (tangent line), s (slope), b, B, g (derivative graph), showg (show/hide derivative graph), InputBox1, button1, button2, text1, text2, text3. It is suitable for high school mathematics education to help students visually understand the concept of derivatives and their geometric significance.