Lectures related to Rolle's and Mean Value Theorem

Explores Rolle's Theorem for continuous and differentiable functions on closed intervals.

Covers fundamental topics in calculus of variations, including minimizers and the Euler-Lagrange equation.

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

Explores concavity, convexity, critical points, and singularities in functions.

Covers the computation of derivatives and the properties of differentiable functions.

Covers Rolle's Theorem and the Mean Value Theorem, discussing stationary points and extrema.

Explores convexity, concavity, and limiting developments for functions, emphasizing extrema and derivative properties.