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These SmartGirl Study Notes cover the following topics:

  • 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 summarise the grade 12 Advanced Program Calculus syllabus in 19 pages and include detailed examples. They do not cover the algebra content also examined in paper 1. 


Please see the Grade 12 AP Math - Paper 1 notes if you would like all of the content covered in paper 1.

Grade 12 AP Calculus

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