Differentiation - Tangents and Normals at a Point

Differentiation - Tangents and Normals at a Point

Find the equation of the normal to the curve \(y = 2x+\frac{6}{x}\) when \(x=2\). Given that this normal meets the curve again at \(P\), find the coordinates of \(P\).

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Answer:Normal: \(y=-2x+11\), \(P=\left(\frac34,\frac{19}{2}\right)\)

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