Review Questions for the Final Exam
Friday, August 28th, 2009 Page 509 #1-4, 6-10, 12-18, 22-26, 49-52, 55-57, 60-70, 72-77
*If a “bearing” question snuck in there, please disregard!
Page 509 #1-4, 6-10, 12-18, 22-26, 49-52, 55-57, 60-70, 72-77
*If a “bearing” question snuck in there, please disregard!
Stuff you need to know:
• Intervals of Increase/Decrease by First Derivative and Critical Points
• Local Maxima/Minima OR Absolute Maxima/Minima if there’s an interval given
• Concavity by Second Derivative and Points of Inflection
• Simple Rational Functions: find vertical asymptotes and then check left- and right-side limits for behaviour
• Putting It All Together: Intercepts, Asymptotes, Intervals of Increase/Decrease, Maxima/Minima, Concavity, SKETCH!
• Optimization […]
Tomorrow’s test will cover 1.1 - 1.5
Concepts:
• Average and Instantaneous Rates of Change by graphing, equations, and data
• Difference Quotient
• Limits: left- and right-hand limits; overall limit as a result
• Continuity and types of Discontinuity
• Piecewise functions
• First Principle Differentiation: find the derivative; recognize by graphs; find the equation of the tangent
Review:
Page 64 #1, 3, 8, 9, 10, 11, 12
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