Approximation of Functions

Related lectures (30)

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Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.

Covers differentiability, derivatives, composite functions, linear approximation, and partial derivatives.

Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.

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

Explores distribution interpolation spaces, convergence of sequences, derivatives, weak derivatives, and their applications in minimization problems.

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Covers properties of logarithms, derivatives, exponentials, and sine-cosine functions.

Explores linear applications, derivatives, Jacobian matrix, composition of functions, and matrix products.

Covers derivatives pricing, replication, and interpretation, including examples of call options, forward contracts, and put options.

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