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Lecture
Discussion of Function f
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Related lectures (27)
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Functions Reciprocal and Monotone: Advanced Analysis II
Explores reciprocal functions, strict monotonicity, and continuity in advanced analysis.
Rolle's Theorem: Applications and Examples
Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.
Derivability of Reciprocal Function
Covers the derivative of the reciprocal function and its properties.
Derivatives Rules: Notation, Extrema
Covers the rules of derivatives, O-notation, and extrema in the context of theorem 6.5 and examples.
Differentiability and Derivatives
Revisits the definition of differentiability and the existence of derivatives for functions in open intervals.
Closed Intervals: Definitions and Remarks
Explains definitions and remarks about closed intervals in functions.
Rolle's Theorem
Explores Rolle's Theorem for continuous and differentiable functions on closed intervals.
Computing Derivatives: Derivatives and Algebraic Operations
Covers the computation of derivatives and the properties of differentiable functions.
The Increment Theorem: Understanding Derivatives
Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.
Surjectivity of Derivative Application
Covers the surjectivity of the derivative application for continuous functions on closed intervals.