Applications of Differentiation - Derivative as the Gradient of a Curve

Applications of Differentiation - Derivative as the Gradient of a Curve

TGM Original Questions

Find the gradient of the curve \(y = 3x^2 - x - 2\) at the point(s) where the curve crosses the \(x\)-axis.

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Answer:At \(x=1\), the gradient is \(5\); at \(x=-\dfrac23\), the gradient is \(-5\).

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