Differentiation - Tangents and Normals at a Point

Differentiation - Tangents and Normals at a Point

TGM Original Questions

Find the coordinates of the point(s) on the curve \(y = (3x + 2)\sqrt{4x + 1}\) where the tangent to the curve is parallel to \(9x - y - 27 = 0\).

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Answer:\(\left(\dfrac49,\dfrac{50}{3}\right)\) and \(\left(-\dfrac29,\dfrac49\right)\)

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