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Browsing by Australian Curriculum Mathematical Methods

  1. Unit 4 Topic 1 The logarithmic function
  2. Topic: Calculus of logarithmic functions

Sub-topics:  ACMMM159 define the natural logarithm lnx=logexln⁡x=loge⁡x (0)  ACMMM160 recognise and use the inverse relationship of the functions y=exy=ex and y=lnxy=ln⁡x (0)  ACMMM161 establish and use the formula ddx(lnx)=1xddxln⁡x=1x (0)  ACMMM162 establish and use the formula ∫1xdx=ln x +c∫1xdx=ln⁡ x +c, for x>0x>0 (0)  ACMMM163 use logarithmic functions and their derivatives to solve practical problems. (0) 

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