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Lecture
Derivatives: Definition and Examples
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Differential Functions and Tangent Plan
Covers differentiable functions, derivatives, and tangent planes in mathematics.
Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
Directional Derivatives
Explores directional derivatives, their calculation, examples, and cases of lack of continuity.
Derivatives and Continuity
Covers derivatives, continuity, properties, and applications of derivative rules.
Partial Derivatives: Derivability
Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.
Derivability of Reciprocal Function
Covers the derivative of the reciprocal function and its properties.
Differentiability and Partial Derivatives
Explores differentiability in two variables and the chain rule for compositions.