Lectures related to Logarithmic derivative

Differential Calculus: Definition and Derivability

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

Derivatives and Reciprocal Functions

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

Tangent to Graph of a Function

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

Natural Logarithm: Definition and Properties

Delves into the definition, geometric interpretation, and properties of the natural logarithm, including its continuity and behavior as x approaches infinity or zero.

Power Functions: Properties and Derivatives

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

Derivatives: Definition and Properties

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

Introduction to Derivatives

Introduces derivatives, forward contracts, options, and their financial uses.

Logarithmic Derivative of Zeta

Explores the logarithmic derivative of the Zeta function using the Hadamard factorization.

Generalized Powers: Derivatives and Exponentials

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

Complex Derivatives: Cauchy-Riemann Equations

Explores complex derivatives, Cauchy-Riemann equations, rules of derivation, and properties of holomorphic functions.

Derivatives and Approximations: Logarithmic Functions

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Numerical Derivative

Covers the concept of numerical derivative and the progressive difference approach for computing derivatives.

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Integral Calculation

Covers the calculation of a specific integral using properties of logarithmic functions.

Implicit Differentiation: Basics

Covers the basics of implicit differentiation, focusing on techniques and applications.

Exact Linearization: Earth Dynamics and Stabilization

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

Introduction to Derivatives

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

Logarithmic Derivative of Zeta

Explores the behavior of the zeta function and its explicit formula.

Jacobian Matrix: Derivative of Composite Functions

Explains the Jacobian matrix and derivative of composite functions with examples.

Nonlinear Programming: Part I

Covers the fundamentals of Nonlinear Programming and its applications in Optimal Control, exploring techniques, examples, optimality definitions, and necessary conditions.