Derivative and Variation

Related lectures (27)

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

Explores the immediate consequences of f' = 0 and monotonicity on intervals.

Explores invertible matrices, injective functions, and the theory of reciprocal functions.

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

Explores the conditions for continuity and differentiability of functions on a closed interval.

Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

Explores reciprocal functions, strict monotonicity, and continuity in advanced analysis.

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

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