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Calculus of Powers

Review question

What is the gradient of this curve at its $x$-intercepts?
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Ref: R7391

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Question

The gradient of the curve \(y=3x^2+5x-12\) is \(17\) at the point \(P\). Calculate the coordinates of \(P\).

The curve cuts the \(x\)-axis at \(Q\) and \(R\). Find the gradient of the curve at \(Q\) and at \(R\).