Tangent Line and Derivative of x^n

This example demonstrates how to draw the tangent line and derivative of the function f(x)=x^n. By dynamically adjusting parameters a and b, one can intuitively observe the changes in the tangent line and the geometric meaning of the derivative. The core mathematical concepts involved include the definition of the derivative, the slope of the tangent line, and the properties of power functions. The construction uses GeoGebra's Function and Tangent commands to create the function graph and tangent line objects, with objects including function f, parameter a, and b. It is suitable for high school students and above to learn and understand the concepts of derivatives and tangent lines in calculus.