Functions Reciprocal and Monotone: Advanced Analysis II

Related lectures (27)

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Covers the definition of derivative functions and their interpretation, focusing on differentiability, velocity, and curve lengths.

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

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

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

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

Covers the discussion of the function f(x) = |2x-1| -x²+1 on a given domain and its continuity, zeros, and derivatives.

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Covers derivability on an interval, including Rolle's Theorem and practical applications in function analysis.

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