Differentiation - Connected Rates of Change

Differentiation - Connected Rates of Change

The length of each side of a regular hexagon is \(x\). Find the area of the regular hexagon in terms of \(x\).

If \(x\) is increasing at the rate of \(0.5\) cm/s, find the rate at which the area is increasing when \(x=6\) cm.

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Answer:\(9\sqrt3\text{ cm}^2/\text{s}\)

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