Surjectivity of Derivative Application

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Rolle's Theorem: Applications and Examples

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Intermediate Value Theorem

Covers the Intermediate Value Theorem and its applications in finding solutions of equations and understanding the properties of continuous functions.

Differentiability: Partial Derivatives and Hessiennes

Explains partial derivatives, Hessienne matrix, and their properties.

Rolle's Theorem and Mean Value Theorem

Covers Rolle's Theorem and the Mean Value Theorem, demonstrating their applications through examples.

Rolle's Theorem and Mean Value Theorem

Covers Rolle's Theorem and the Mean Value Theorem with illustrative examples.

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.

Differential Calculus: Theorem of Finite Increments

Explains how a function reaches its maximum and minimum values.

Weak Derivatives: Definition and Properties

Covers weak derivatives, their properties, and applications in functional analysis.

Integration by Change of Variables

Covers integration by change of variables and the derivation in chain rule.