Visualizing the Sum Rule for Derivatives

① This example dynamically demonstrates the sum rule for derivatives: the derivative of a sum of two functions equals the sum of their derivatives. ② Core mathematical concepts include differentiation rules, tangent lines, and slope interpretation in calculus. ③ Construction highlights: using GeoGebra commands Intersect to find intersection points, Tangent to draw tangent lines, and Slope to compute slopes; objects include functions f, g, h (where h = f + g), tangent lines, and slope segments, with sliders or draggable points to explore changes. ④ Suitable for high school or introductory college calculus students to grasp the geometric meaning of linearity in differentiation, and useful for classroom demonstrations.