Differential Calculus: Derivative of a Function

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

Explores convexity, concavity, and limiting developments for functions, emphasizing extrema and derivative properties.

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

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

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Introduces derivatives, trigonometry, and motion principles through basic and trigonometric functions differentiation.

Explores algebraic operations for derivatives, including addition, multiplication, and composition of functions on an interval.

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

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