Constructing the Derivative

This example demonstrates how to construct the derivative of a function using GeoGebra. The core mathematical concepts involved include derivatives, slopes, tangents, and analytical geometry. Key construction points involve commands and objects such as Textfield, Point, Tangent, Slope, OrthogonalLine, Intersect, Line, and elements like f, inputBox1, P, a, m, b_1, c, P', d, A, B, f_1, inputBox1_1, P_1, a_1, b, m_1, e, f', text1, and g. It is suitable for high school and above students learning calculus and function graphing.