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Lecture
Derivatives and Function Composition
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Related lectures (29)
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Mathematical Reminders: Derivatives, Primitives, Integrals
Covers mathematical reminders on derivatives, primitives, and integrals, including common functions and Taylor series expansions.
Functional Derivatives
Covers the concept of functional derivatives and their calculation process with examples.
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
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.
Power Functions: Properties and Derivatives
Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.
Derivatives and Continuity
Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Analysis I Exam Solutions
Provides solutions to an Analysis I exam, covering various topics.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Derivatives and Tangents
Introduces derivatives, tangent lines, rules of differentiation, and practical examples.
Real Numbers and Functions
Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.
Derivatives and Functions
Covers the theorem of the intermediate value, corollaries, and geometric interpretation of derivatives.
Advanced Analysis II: Derivatives and Notations
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Covers derivatives, notations, composition of functions, and multiple derivatives in advanced analysis.
Differential Calculation: Trigonometric Derivatives
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Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Differentiation and Coordinate Changes in Multivariable Functions
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Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.
Differentiability and Derivatives
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Covers differentiability, derivatives, continuity, and matrices in functions from R^n to R^m.
Implicit Functions Theorem
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Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.
Functions and Coordinate Changes
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Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.
Computing Derivatives: Derivatives and Algebraic Operations
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Covers the computation of derivatives and the properties of differentiable functions.
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