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Lecture
Differential Calculation
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Related lectures (36)
Generalized Integrals: Convergence and Divergence
Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.
Trigonometric Functions: Tangent and Cotangent
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores the definition, properties, and geometric interpretations of tangent and cotangent functions in trigonometry.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Trigonometric Equations: Tangent and Cotangent
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores solving trigonometric equations with tangent and cotangent functions, along with arctangent and arccotangent definitions.
Symmetries of Tangent and Cotangent
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores the symmetries and properties of tangent and cotangent functions with different angles.
Continuity of Trigonometric Functions
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.
Differentiable Functions: Definitions and Interpretation
Covers the definitions of differentiable and derivable functions and their geometric interpretation.
Trigonometric Formulas: Addition Theorem
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores trigonometric addition theorem, double angles, and tangent properties.
Trigonometric Functions
Covers the concept of trigonometric functions and their applications in geometry.
Derivatives of Trigonometric Functions
MOOC: Trigonometric, Logarithmic and Exponential Functions
Explores the derivatives of trigonometric functions and their geometric interpretations, including sine, cosine, and tangent functions.
Derivatives and Trigonometry Fundamentals
MOOC: Warm-up for EPFL
Introduces derivatives, trigonometry, and motion principles through basic and trigonometric functions differentiation.
Triangle Resolution: Trigonometric Functions
MOOC: Trigonometric, Logarithmic and Exponential Functions
Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.
Interpolation and Calculus
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Covers revisions on calculus, derivation rules, interpolation, and tangent vectors.
Mechanics: Introduction and Calculus
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Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Limits and Operations on Limits
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Covers limits, algebraic operations, and infinite limits with examples of functions' behavior near limit points.
Differentiability of Functions of Several Variables
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Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
Differential Calculation: Trigonometric Derivatives
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Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Integration Techniques: Fundamental Theorems and Methods
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Discusses integration techniques, focusing on integration by parts and substitution methods, with practical examples and theoretical insights.
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.
Derivatives: Tangents and Secants
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Covers derivatives, tangents, secants, and rules for deriving elementary functions.
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