Derivative of x^n

This example demonstrates how to use GeoGebra to plot the graph of the function y=x^n and its tangent line at any point, dynamically showing the slope of the tangent. The core mathematical concepts involved include functions, derivatives, tangent line equations, and slope calculation. Key GeoGebra commands used are Line, Tangent, and Slope, along with objects like e, c, b, a, d, f, x_p, A, B, C, D, E, F, P, j, q, m, button1, c_1, P', text2. It is suitable for high school calculus instruction, providing an intuitive understanding of the geometric meaning of derivatives.