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These SmartGirl Study Notes Cover:


  • A summary of logarithms (log graphs, laws of logarithms, natural logarithms & the number e)
  • An introduction to mathematical induction


  • A brief summary of grade 11 concepts
  • The Chain Rule
  • The Product Rule
  • The Quotient Rule
  • Implicit Differentiation
  • Differentiation of Trigonometric Functions
  • Higher Order Derivatives
  • Stationary Points & Gradients
  • The Second Derivative
  • The Newton Raphson Method
  • Graph Sketching
  • Optimization
  • Anti-Differentiation
  • The Fundamental Theorem of Calculus
  • Integration by Trigonometric Substitution
  • Integration by Substitution
  • Integration by Parts
  • The ‘Switch-Around’ Method
  • The Definite Integral
  • Volumes of a Solid
  • Length of a Curve


*These notes cover all the concepts tested in paper 1 of the grade 12 AP Math exam. They are 25 pages long & include a 'cheat sheet' summarising all of the content.

Grade 12 AP Math - Paper 1

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