Topic06 - Limits & Differentiation
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Transcript of Topic06 - Limits & Differentiation
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HKCEE Additional Mathematics Section A sorted by topic with question type
Question
(1990 - 2009)
6. Limits & Differentiation
July 2009 edition http://hk.myblog.yahoo.com/vinci_mak
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Question Type 1: First Principles Question Type 1A: Polynomial
2007Q4
2003Q2
1996P1Q2
Question Type 1B: Surd
2009Q8
1998P1Q1
1993P1Q1
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Question Type 1C: Fraction
2005Q3
2000P1Q3
1991P1Q2
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Question Type 2: Basic Differentiation Question Type 2A: Quotient Rule
2001Q1
2006Q1
Question Type 2B: Sine function
2005Q9(a)
(3 marks)
2000P1Q2
1999P1Q1
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Question Type 3: Implicit Function
2005Q9(b)
(3 marks)
2002Q3
Question Type 4: Finding unknown
Question Type 4A: Finding Value of dxdy
2003Q4
1997P1Q1
Question Type 4B: Given Value of dxdy Finding unknown
1990P1Q1
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Question Type 5: Second Derivatives Question Type 5A: Finding f (x) and f (x)
1996P1Q1
Question Type 5B: Proving Identities involving Derivatives
1994P1Q4
Question Type 6: Equation of Tangent / Normal
Question Type 6A(1): Given a Point on Curve Finding Value of dxdy / Slope of Tangent
1997P1Q2
1992P1Q5
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Question Type 6A(2): Given a Point on Curve Finding Equation of Tangent
2009Q6
2008Q6
2001Q7
2000P1Q4
1999P1Q6
-
1994P1Q6
1993P1Q7
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Question Type 6A(3): Given a Point on Curve Finding Equation of Normal
2006Q12
1998P1Q8
1995P1Q6
Question Type 6A(4): Given Points on Curve Finding Equations of Tangent & Normal + Proving Equation of Tangent passes through certain Point
1991P1Q6
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Question 6B: Given Equation of line of parallel Finding Equation of Tangents
2002Q2
1996P1Q6
1990P1Q7
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Question Type 6C: Given Graph of Curve and its Tangents Proving and Finding unknowns
2004Q9
Question Type 7: Curve Sketching Question Type 7A: Basic sketching
2008Q13
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1995P1Q3
Question 7B: Sketching with Integration
2006Q13
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Question Type 8: Maximum and Minimum Values
Question Type 8A: Given y = f (x) Finding maximum and minimum points
2007Q10
Question Type 8B: Given y = f(x) Finding maximum and minimum of f(x)
2003Q13
1991P1Q4
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Question Type 9: Rate of Change Question Type 9A: Mensuration
1992P1Q7
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Question Type 9B: Trigonometry
1999P1Q8
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1997P1Q4
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Question Type 9C: Distance
2007Q9