Differentiation - Connected Rates of Change
Differentiation - Connected Rates of Change
TGM Original Questions
The length of each side of a regular hexagon is \(x\) cm.
- Express the area of the regular hexagon, \(A\), of the regular hexagon in terms of \(x\).
- If \(x\) is increasing at a constant rate of \(0.5\) cm/s, find the rate of change of \(A\) when \(x = 6\) cm.
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Answer:(i) \(A=\dfrac{3\sqrt3}{2}x^2\text{ cm}^2\) (ii) \(9\sqrt3\text{ cm}^2\text{ s}^{-1}\)
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