The Derivative of y = cos(x)

This example demonstrates how to use GeoGebra to plot the derivative of the cosine function y = cos(x), which is y' = -sin(x). The core mathematical concepts involved include the geometric meaning of derivatives (slope of the tangent line) and properties of trigonometric functions. The construction highlights the use of GeoGebra commands Tangent and Slope, along with objects e, f, a, P, b, m, P' to dynamically visualize the tangent's position and slope changes. It is suitable for high school students learning calculus and trigonometry, helping to intuitively understand the concept of derivatives and graphical transformations.