Techniques of Differentiation - Second and Higher Derivatives

Techniques of Differentiation - Second and Higher Derivatives

TGM Original Questions

A curve has the equation \(y = -5x^3 + 24x^2 - 7x - 5\).

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

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Answer:(i) \(x=\dfrac85\) (ii) Maximum gradient \(=\dfrac{157}{5}\)

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