2025 SCGS PRELIMS P2 Q3

2025 SCGS PRELIMS P2 Q3

Secondary 4
5 marks

A curve has the equation \( y = x^3 - 3x^2 + 3x - 7 \).

  1. Find the coordinates of the stationary point on the curve.[3]
  2. Observe the changes in the sign of the gradient of the curve and determine the nature of this stationary point.[2]

Solution:

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Answer:(a) \((1,-6)\) (b) Stationary point of inflexion

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