Derivative Introduction

This example demonstrates the geometric meaning and calculation process of derivatives by dynamically showing the slope of the tangent line at a point on a function. Core mathematical concepts include the definition of derivatives, the concept of limits, sine functions, and indefinite integrals. Construction highlights involve using commands like Textfield and Line to draw function graphs, tangents, and auxiliary lines, with objects such as f, h, text3, InputBox1, hMax, InputBox3, c, InputBox4, A, B, g, a, text1, etc., dynamically adjusted via sliders. Suitable for high school mathematics teaching to help students visually understand the concept and application of derivatives.