Derivative and Linear Approximation

Related lectures (28)

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Explores Taylor series expansions for derivatives and integrals, including practical applications.

Explores derivability, continuity, and composite functions with illustrative examples.

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.

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

Explains definitions and remarks about closed intervals in functions.

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Covers Fermat's theorem, necessary optimality conditions, convexity, and eigenvalue curvature in optimization.

Explores Hessians, directional derivatives, and function continuity in advanced analysis.

Explores derivatives and approximations, focusing on logarithmic functions and their properties.