Differentiation - Problems Involving Maximisation and Minimisation
Differentiation - Problems Involving Maximisation and Minimisation
The figure shows the junction of two corridors of width \(9\) m and \(4\) m which are at right angles. \(A\) and \(C\) are variable points such that \(ABC\) is a straight line. Denoting the lengths of \(DC\) and \(AE\) by \(x\) m and \(y\) m respectively,
- Express \(y\) in terms of \(x\),
- Find the value of \(x\) for which \(AE +EC\) is a minimum.
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Answer:(a) \(y=\frac{36}{x}+4\) (b) \(x=6\text{ m}\)
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