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Exam (elaborations)
University of North Carolina — MATH 231 Calculus of Functions of One Variable I — Final Exam With Questions and answers with rationales
COURSE TOPICS COVERED 
Topic	Description 
Limits & Continuity	Definition of limit, limit laws, one-sided limits, continuity, IVT, asymptotes 
Derivatives	Definition of derivative, differentiation rules, chain rule, implicit differentiation, logarithmic differentiation 
Applications of Derivatives	Related rates, optimization, linear approximations, MVT, curve sketching, L'Hôpital's Rule 
Integrals	Riemann sums, definite integrals, indefinite integrals, FTC, substitution 
Applications of In...