5: Differentiation and Antidifferentiation Last updated Sep 5, 2021 Save as PDF 4.13.E: More Problems on Series of Functions 5.1: Derivatives of Functions of One Real Variable Page ID19055 Elias ZakonUniversity of Windsor via The Trilla Group (support by Saylor Foundation) ( \newcommand{\kernel}{\mathrm{null}\,}\) 5.1: Derivatives of Functions of One Real Variable5.1.E: Problems on Derived Functions in One Variable5.2: Derivatives of Extended-Real Functions5.2.E: Problems on Derivatives of Extended-Real Functions5.3: L'Hôpital's Rule5.3.E: Problems on L′ Hôpital's Rule5.4: Complex and Vector-Valued Functions on E15.4.E: Problems on Complex and Vector-Valued Functions on E15.5: Antiderivatives (Primitives, Integrals)5.5.E: Problems on Antiderivatives5.6: Differentials. Taylor’s Theorem and Taylor’s Series5.6.E: Problems on Tayior's Theorem5.7: The Total Variation (Length) of a Function f - E1 → E5.7.E: Problems on Total Variation and Graph Length5.8: Rectifiable Arcs. Absolute Continuity5.8.E: Problems on Absolute Continuity and Rectifiable Arcs5.9: Convergence Theorems in Differentiation and Integration5.9.E: Problems on Convergence in Differentiation and Integration5.10: Sufficient Condition of Integrability. Regulated Functions5.10.E: Problems on Regulated Functions5.11: Integral Definitions of Some Functions5.11.E: Problems on Exponential and Trigonometric Functions