IB DP Math: AA SL :Topic SL 5.2-Increasing and decreasing functions: Study Notes

SL 5.2 Increasing and decreasing functions.

Content
Increasing and decreasing functions.
Graphical interpretation of  \(f'(x)>0 , f'(x) =0,f'(x)<0\)

Understandings:

  • Increasing and Decreasing Functions
  • Determine intervals on which a function is increasing or decreasing
  • The First Derivative Test
  • Apply the First Derivative Test to find relative extrema of a function
  • Strictly Monotonic

Guidance, clarification and syllabus links

  • Identifying intervals on which functions are increasing (f′(x)>0) or decreasing (f′(x)<0).

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