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Lecture
Definition of Differentiable Functions
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Differential Functions and Tangent Plan
Covers differentiable functions, derivatives, and tangent planes in mathematics.
Linear Approximation and Derivative Parametric
Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.
Closed Intervals: Definitions and Remarks
Explains definitions and remarks about closed intervals in functions.
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Covers derivatives, continuity, properties, and applications of derivative rules.
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Covers the derivative of the reciprocal function and its properties.
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Explores algebraic operations for derivatives, including addition, multiplication, and composition of functions on an interval.
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Explores differentiability and continuity in advanced analysis with examples and counterexamples.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.