2026 MSHS P1 Q5

2026 MSHS P1 Q5

Secondary 4
6 marks
  1. Show that the \(x\)-coordinate of the stationary point on the curve \(y=\dfrac13x^3-3x^{2/3}+4\) is \(2^{3/7}\).[4]
  2. Determine the nature of this stationary point.[2]

Solution:

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Answer:(a) \(x=2^{3/7}\) (shown). (b) Minimum.

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