Applications of Differential Calculus

Related lectures (29)

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Explores derivatives, local extrema, and convexity in functions, including Taylor's formula and function compositions.

Covers Taylor approximation, convex functions, and integrable properties.

Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.

Covers the terminology related to the graph of a function and intervals.

Explores motion graph analysis, focusing on function study and derivative interpretation.

Covers analyzing the graph of a function using a nine-point process.

Covers linear transformations, matrices, kernels, and properties of invertible matrices.

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Discusses optimization techniques, focusing on local and global extrema in functions.

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