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COMMON CORE REGENTS Exams
CALCULUS
Topic A: Limits and Continuity
Concept 1: Techniques for evaluating limits
Concept 2: Left and Right hand limits
Concept 3: Limits involving Infinity
Concept 4: Continuity
Concept 5: Asymptotes and holes
Concept 6: Limits involving trigonometric and exponential functions
Concept 7: The limit definition of the derivative
Topic B: Derivatives
Concept 1: The power rule involving algebraic functions
Concept 2: The product rule involving algebraic functions
Concept 3: The quotient rule involving algebraic functions
Concept 4: Chain rule with algebraic functions
Concept 5: Derivatives involving trigonometric functions
Concept 6: Derivatives involving exponential and logarithmic functions
Concept 7: Higher order derivatives
Concept 8: Implicit differentiation
Concept 9: Derivatives Involving Inverse Trigonometric Functions
Topic C: Applications with derivatives
Concept 1: Slope, tangents and normals
Concept 2: Critical points and relative extrema
Concept 3: Concavity and points of inflection
Concept 4: Graph analysis
Concept 5: Absolute extrema
Concept 6: Related rates
Concept 7: Maximum and Minimum Word Problems
Concept 8: The Mean Value Theorem and Rolle's Theorem
Concept 9: Motion Along a Straight Line
Concept 10: L'Hopital's Rule for the (0/0) Type
Topic D: Integral Calculus
Concept 1: Antiderivatives ( The Indefinite Integral)
Concept 2: Integration by Substitution
Concept 3: The Fundamental Theorem of Integral Calculus
Concept 4: Integration by Parts
Concept 5: Area of a Bounded Region
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