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Lecture
Trigonometric Functions and Derivatives
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Analysis I Exam Solutions
Provides solutions to an Analysis I exam, covering various topics.
Derivatives and Extrema: Theory and Applications
Explores derivatives, extrema, and their practical applications in function analysis.
Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Taylor Polynomials: Approximating Functions
Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.
Trigonometric Functions: Basics and Applications
Introduces the basics of trigonometric functions, their properties, and practical applications in geometry and physics.
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
Hyperbolic Functions
Explores hyperbolic functions, their properties, and derivatives, including tanh(x) and arctanh(x).
Derivatives of Trigonometric Inverse Functions
Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.
Mathematical Functions
Covers mathematical functions, including limits, derivatives, integrals, and trigonometric functions.
Derivatives and Trigonometry Fundamentals
Introduces derivatives, trigonometry, and motion principles through basic and trigonometric functions differentiation.