Demonstration of Derivatives of Inverse Functions

This example demonstrates the geometric meaning of derivatives of inverse functions, dynamically showing the reciprocal relationship between the slopes of tangents of a function and its inverse. Key math concepts include the definition of inverse functions, the geometric meaning of derivatives, and the reciprocal relationship. Construction highlights from the GeoGebra command summary include Mirror, Textfield, Point, Tangent, Slope, Circle, Intersect, and Vector. Suitable for high school and above students learning calculus and function properties, or for teaching demonstrations.