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 \(x=6\).
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Answer:Area \(=\frac{3\sqrt3}{2}x^2\) Rate of increase \(=9\sqrt3\text{ cm}^2\text{/s}\)
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