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Lecture
Gradient Analysis
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Related lectures (24)
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Integration by Substitution
Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.
Inverse Function Identity
Explains the inverse function identity and provides examples with ln(x), sin(x), and cos(x).
Implicit Functions Theorem
Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.
Limits and Derivatives in Multivariable Functions
Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.
Advanced Analysis II: Derivatives and Functions
Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.
Implicit Functions and Taylor Polynomials
Covers implicit functions, Taylor polynomials, and tangent equations.
Bernoulli's Hospital Rule
Covers the statement of the Bernoulli's Hospital Rule and its application.
Applications of Theorems
Demonstrates the practical application of theorems in calculus through two clever examples.
Calculus: Derivatives and Integrals
Covers the fundamentals of calculus, focusing on derivatives and integrals.
Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.