Techniques of Differentiation - Second and Higher Derivatives

Techniques of Differentiation - Second and Higher Derivatives

TGM Original Questions

A curve has the equation \(y = 2x^3 - 9x^2 + 5x + 3\).

  1. Find the value of \(x\) when the minimum gradient of the curve occurs.
  2. Hence find the minimum gradient of the curve.

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Answer:(i) \(x=\dfrac32\) (ii) Minimum gradient \(=-\dfrac{17}{2}\)

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