Function and Its Derivatives by brian caldwell

This example demonstrates how to plot a function along with its first and second derivatives, marking roots, extrema, inflection points, and tangents. Key math concepts include functions, derivatives, extrema, inflection points, tangents, and roots. Construction highlights involve GeoGebra commands like Root (finding roots), Extremum (finding extrema), Tangent (finding tangents), TurningPoint (finding inflection points), Derivative (calculating derivatives), and Intersect (finding intersections). Suitable for high school and above students to understand the relationship between functions and their derivatives, and to master related geometric constructions.