Product and Quotient Rules of Differentiation Demo

This GeoGebra example demonstrates how to differentiate products and quotients of two user-defined functions. It shows u, v, their derivatives u' and v', the product P=u*v and quotient Q=u/v, and the simplified derivative expressions. Core concepts include derivative rules, product rule, quotient rule, function graphs, and trigonometric simplification. Construction uses InputBox1 and InputBox2 for function entry, objects u, v, u', v', P, Q, SimP, SimQ, TSimP, TSimQ for computation, Simplify and TrigSimplify for algebraic and trigonometric reduction, Textfield and text objects for explanations, and button1 to trigger updates. Suitable for high-school calculus, introductory university calculus, and classroom demonstrations.