Chain Rule with One Inner Function Visualization
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This GeoGebra example interactively demonstrates the chain rule for differentiating composite functions with a single inner function. The core mathematical concept is the derivative of a composite function, emphasizing the product of the outer derivative and the inner derivative. Construction highlights include using Textfield and InputBox for user-defined inputs, the Derivative command for automatic differentiation, and TrigSimplify for simplifying trigonometric expressions. Objects such as functions f and g, derivatives f' and Deriv, along with multiple text labels and buttons, dynamically show each step of the derivation. Suitable for high school and early college calculus students to grasp the algebraic and geometric meaning of the chain rule, and useful for classroom demonstrations.
GeoGebra Commands & Parameters
Textfield(O) → InputBox1Textfield(I) → InputBox2Derivative(O, t) → O'TrigSimplify(f') → DerivTrigSimplify((I'(x) * A(x))) → F