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Related lectures (31)
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Derivatives and Jacobian Matrix
Introduces functions with real values, derivatives, and the Jacobian matrix, along with compound functions and variable change applications.
Theorem and Explanations
Covers the theorem of finite increments in derivative functions.
Implicit Examples: Hyperplane and Stationary Points
Illustrates finding hyperplanes for surfaces and determining stationary points.
Generalized Integrals and Convergence
Explores generalized integrals, convergence, implicit functions, and higher-order derivatives.
Computing Derivatives: Derivatives and Algebraic Operations
Covers the computation of derivatives and the properties of differentiable functions.
Implicit Function Theorem: Local Extrema
Explores the Implicit Function Theorem, local extrema, supporting hyperplanes, and higher-order derivatives.
Concavity and Convexity: Analysis of Functions
Explores concavity, convexity, critical points, and singularities in functions.
Untitled
Derivative: Derivation Rules
Covers the rules of derivation and how to calculate derivatives.
Differentiability Theorems
Covers differentiability theorems and methods to check for differentiability in functions.