Techniques of Differentiation - Second and Higher Derivatives

Techniques of Differentiation - Second and Higher Derivatives

Find the maximum gradient of the curve \(y = -5x^3 + 24x^2 - 7x - 5\) and the value of \(x\) when the maximum gradient occurs.

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Answer:Maximum gradient \(=\frac{157}{5}\) when \(x=\frac{8}{5}\).

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