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Browsing by Australian Curriculum Mathematical Methods

  1. Unit 2 Topic 3 Introduction to differential calculus
  2. Topic: The concept of the derivative

Sub-topics:  ACMMM081 examine the behaviour of the difference quotient f(x+h)−f(x)hfx+h-f(x)h as h→0h→0 as … (0)  ACMMM082 define the derivative f’(x)f’x as limh→0f(x+h)−f(x)hlimh→0⁡fx+h-f(x)h (0)  ACMMM083 use the Leibniz notation for the derivative: dydx=limδx→0δyδxdydx=limδx→0⁡δyδx and th… (0)  ACMMM084 interpret the derivative as the instantaneous rate of change (0)  ACMMM085 interpret the derivative as the slope or gradient of a tangent line of the graph of y… (0) 

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