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Home > Subjects > Mathematics > Level 3 - calculus > 3.1 Differentiation (AS90635) > Key tips

  • Subject: Mathematics
  • AS: 90635
  • Level: 3
  • Credits: 6
  • External

Calculus 3.1 Differentiate functions and use derivatives to solve problems

Key tips

  • You should be familiar with the content in 2.1 Algebra and 2.3 Calculus.
  • Know which formulae are on the Formulae resource and how to apply them.
  • When you use a calculator or graphics calculator, show all your working. Consideration can be given if you make a minor slip, because the examiner will be able to determine where and how the mistake was made. See the Graphics calculator resources on NZQA.
  • If using a graphics calculator, you must provide the correct derived function to receive credit for solutions to problems.
  • Set working out in logical steps with correct mathematical statements. If you give the correct answer only, you may lose the opportunity to provide evidence for other grades or to have minor errors ignored.
  • Attempt all questions as questions will have multiple parts and the question as a whole will provide opportunity for all grades of performance – Achievement, Achievement with Merit, and Achievement with Excellence.
  • Understand function notation and how functions are composed. This will help you to recognise which rule to use when differentiating, see functions.
  • For Achievement with Merit, you may be required to form your own equations and to use methods from other level 3 calculus achievement standards for Achievement with Excellence.
  • Check out I Can Do Sheet Level 3 Calculus from www.nzamt.org.nz for a list of essential skills for each achievement standard.


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