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Lecture
Inverse Functions: Guided Exercises
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Related lectures (36)
Derivatives of Trigonometric Inverse Functions
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Real Functions: Definitions and Properties
Covers real functions' definitions, properties, periodicity, and reciprocity, including maximum, minimum, and composition of functions.
Continuous Functions on Open Intervals
MOOC: Analysis I
MOOC: Analysis I (part 4) : Limit of a function, continuous functions
Explores continuous functions on open intervals and elementary functions constructed from algebraic functions.
Model Extension and Composition of Functions
Explores model extension, function composition, graph uniqueness, and mathematical induction principles.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Function Composition and Limits
Covers function composition, limits, bijective functions, and the characterization of limits using sequences.
Mathematical Reminders: Derivatives, Primitives, Integrals
Covers mathematical reminders on derivatives, primitives, and integrals, including common functions and Taylor series expansions.
Linear Algebra: CMS
Covers linear algebra concepts with a focus on functions and their properties.
Functions: Inverse, Composition, and Graphs
Covers inverse functions, function composition, partial functions, and graphical representation of functions.
Functions: Inverse, Composition, and Graphs
Covers inverse functions, function composition, partial functions, and graphs of functions.
Composition of Functions: Application and Reciprocal Functions
Covers the composition of functions and reciprocal functions, with examples and formulas on logarithms and bijective functions.
Mathematical Exercises: Functions and Equations
Covers mathematical exercises on functions, equations, and trigonometric functions.
Sets, Functions and Relations: Summary of Week 4
Covers sets, functions, and relations, including functions' properties and binary relations.
Functions Composition: Continuity & Elements
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Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.
Differential Calculation: Trigonometric Derivatives
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Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
How to Compute Derivatives?: Analysis 1 Lecture 18
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Covers continuity, differentiation, and algebraic operations, including the computation of derivatives for various functions.
Computing Derivatives: Derivatives and Algebraic Operations
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Covers the computation of derivatives and the properties of differentiable functions.
Advanced Analysis II: Derivatives and Notations
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Covers derivatives, notations, composition of functions, and multiple derivatives in advanced analysis.
Taylor Development: Convexity
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Covers the Taylor development theorem, convexity, and computation rules with Taylor.
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