Topic06 - Limits & Differentiation

17
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

Transcript of Topic06 - Limits & Differentiation

  • 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

  • Question Type 1: First Principles Question Type 1A: Polynomial

    2007Q4

    2003Q2

    1996P1Q2

    Question Type 1B: Surd

    2009Q8

    1998P1Q1

    1993P1Q1

  • Question Type 1C: Fraction

    2005Q3

    2000P1Q3

    1991P1Q2

  • Question Type 2: Basic Differentiation Question Type 2A: Quotient Rule

    2001Q1

    2006Q1

    Question Type 2B: Sine function

    2005Q9(a)

    (3 marks)

    2000P1Q2

    1999P1Q1

  • 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

  • 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

  • Question Type 6A(2): Given a Point on Curve Finding Equation of Tangent

    2009Q6

    2008Q6

    2001Q7

    2000P1Q4

    1999P1Q6

  • 1994P1Q6

    1993P1Q7

  • 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

  • Question 6B: Given Equation of line of parallel Finding Equation of Tangents

    2002Q2

    1996P1Q6

    1990P1Q7

  • 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

  • 1995P1Q3

    Question 7B: Sketching with Integration

    2006Q13

  • 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

  • Question Type 9: Rate of Change Question Type 9A: Mensuration

    1992P1Q7

  • Question Type 9B: Trigonometry

    1999P1Q8

  • 1997P1Q4

  • Question Type 9C: Distance

    2007Q9