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Max/min: optimization
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Taylor Polynomial: Order 2
Presents the solution to finding the second-order Taylor polynomial of a function.
Demonstration of Theorem
Covers the demonstration of a theorem using mathematical expressions and hypotheses.
Analysis IV: Convolution and Partial Derivatives
Covers the properties of functions in Rn and the computation of partial derivatives by induction.
Bernoulli's Hospital Rule
Covers the statement of the Bernoulli's Hospital Rule and its application.
Taylor Series: Derivatives and Integrals
Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.
Derivability and Composition of Functions
Explores derivability and function composition with examples.
Fundamental Analysis: Integrals and Primitives
Covers the fundamental concepts of integrals and primitives, including properties and examples.
Partial Derivatives of Order 3
Covers the calculation of partial derivatives of order 3 and the concept of differentiability in functions.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.