Derivative of sin(x) - Dynamic Visualization

①This GeoGebra example dynamically illustrates the derivative of the sine function sin(x), showing how the derivative curve relates to the original function. ②The core mathematical concept is the geometric meaning of the derivative as the slope of the tangent line, and the fundamental calculus result that the derivative of sin(x) is cos(x). ③Construction highlights: the NDerivative command is applied to the function f=sin(x) to generate the derivative function g; points A and B are constructed, likely to mark specific tangent points or slopes, with sliders or dynamic points to animate the process. ④Suitable for high school to early university calculus courses, this interactive tool helps students grasp the definition of the derivative, rates of change, and trigonometric differentiation rules, and can be used for classroom demonstrations or self-paced exploration.