Derivability and Chain Rule

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Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

Differential Calculation: Trigonometric Derivatives

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Derivative Chain Rule

Covers the derivative of the composition of two functions and the chain rule theorem.

Functions Composition: Continuity & Elements

Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.

Derivability and Continuity

Explores derivability, continuity, and composite functions with illustrative examples.

Partial Derivatives: Derivability

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Differentiability and Partial Derivatives

Explores differentiability in two variables and the chain rule for compositions.

Rolle's Theorem: Applications and Examples

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Differential Calculus: Definition and Derivability

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Derivatives and Continuity

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.