Gr. 12 Calculus Differentiation





Powerpoint presentation (68 slides)

The following topics are covered :

– Limits

– Gradient from first principles

  • Gradient of a function at a point
  • Gradient of  tangent of a function at a point
  • (Instantaneous) rate of change of a function at a point
  • Derivative of a function at a point

– Rules for differentiation

– Keywords

– Differentiation notation

– General guidelines for Differentiation

– Differentiation in graphs

– Tangents (gradient & equation)

– Increasing and decreasing functions

– Stationary points

– Point of inflection & concavity

– Analysis of derived functions

– How to sketch a cubic graph

– Determining the equation of a cubic function


Author : Heidi Du Toit
Mathematics Powerpoint presentation /
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