Derivative of sin(c x) or cos(c x) Demo

This example demonstrates the calculation and graphical behavior of the derivatives of sine and cosine functions, sin(c x) and cos(c x). Key math concepts include derivative definition, trigonometric properties, and chain rule. Construction highlights involve using commands like Segment and Textfield to create function graphs, tangents, and dynamic points, with a slider for parameter c to observe its effect on the derivative function, utilizing objects such as f, c, g, t, P, m, deltaT, etc. Suitable for high school calculus education to visually understand the impact of parameter c on the derivative graph.