Differentiation - Tangents and Normals at a Point

Differentiation - Tangents and Normals at a Point

TGM Original Questions

The equation of a curve is \(y = hx^4 + k\), where \(h\) and \(k\) are constants. The equation of the normal to the curve at the point where \(x = 2\) is \(8y + 3x - 14 = 0\). Find the values of \(h\) and \(k\).

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Answer:\(h=\dfrac{1}{12},\ k=-\dfrac13\)

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