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Master the essential concepts of AP Calculus AB through this comprehensive 4-hour and 20-minute review course covering all major units. Explore limits and continuity fundamentals, including how to evaluate limits and determine where functions are continuous or discontinuous. Learn differentiation from its basic definition through advanced techniques, covering fundamental derivative rules, the power rule, product rule, quotient rule, and chain rule. Dive into more complex differentiation methods including composite functions, implicit differentiation, and derivatives of inverse functions. Apply differentiation concepts to real-world contextual problems involving rates of change, optimization, and motion analysis. Conclude with analytical applications of differentiation, including curve sketching, finding critical points, determining concavity, and analyzing function behavior using first and second derivative tests.
