Applications of Differentiation - Stationary Points and Their Nature

Applications of Differentiation - Stationary Points and Their Nature

A curve with equation in the form \(y=ax+\frac{b}{x^2}\) has a stationary point at \((3,4)\), where \(a\) and \(b\) are constants. Find the value of \(a\) and of \(b\).

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Answer:\(a=\frac{8}{9},\ b=12\)

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