A horizontal tangent without a turning point

A horizontal tangent without a turning point

Secondary 4
5 marks
TGM Original Questions

A curve has equation \(y=(x-2)^3+1\).

  1. Find the coordinates of its stationary point.[2]
  2. Determine the nature of this stationary point, giving a reason.[3]

Solution:

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Answer:(a) \((2,1)\). (b) Stationary point of inflexion.

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