Differentiation - Tangents and Normals at a Point

Differentiation - Tangents and Normals at a Point

Find the coordinates of point \(P\) on the curve \(y = x^{2} - 4x - 3\) for which the normal at \(P\) is parallel to the line \(y = -x + 7\).

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Answer:\(P=\left(\frac52,-\frac{27}{4}\right)\)

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