5: Differentiation and Antidifferentiation Last updated Save as PDF Page ID 19055 Elias Zakon University of Windsor via The Trilla Group (support by Saylor Foundation) 5.1: Derivatives of Functions of One Real Variable 5.1.E: Problems on Derived Functions in One Variable 5.2: Derivatives of Extended-Real Functions 5.2.E: Problems on Derivatives of Extended-Real Functions 5.3: L'Hôpital's Rule 5.3.E: Problems on \(L^{\prime}\) Hôpital's Rule 5.4: Complex and Vector-Valued Functions on \(E^{1}\) 5.4.E: Problems on Complex and Vector-Valued Functions on \(E^{1}\) 5.5: Antiderivatives (Primitives, Integrals) 5.5.E: Problems on Antiderivatives 5.6: Differentials. Taylor’s Theorem and Taylor’s Series 5.6.E: Problems on Tayior's Theorem 5.7: The Total Variation (Length) of a Function f - E1 → E 5.7.E: Problems on Total Variation and Graph Length 5.8: Rectifiable Arcs. Absolute Continuity 5.8.E: Problems on Absolute Continuity and Rectifiable Arcs 5.9: Convergence Theorems in Differentiation and Integration 5.9.E: Problems on Convergence in Differentiation and Integration 5.10: Sufficient Condition of Integrability. Regulated Functions 5.10.E: Problems on Regulated Functions 5.11: Integral Definitions of Some Functions 5.11.E: Problems on Exponential and Trigonometric Functions