Differentiation - Problems Involving Maximisation and Minimisation
Differentiation - Problems Involving Maximisation and Minimisation
TGM Original Questions
The diagram shows the junction of two corridors of width \(9\) m and \(4\) m which form a right angle. \(A\) and \(C\) are variable points such that \(ABC\) is a straight line. \(DC = x\) m and \(AE = y\) m.
- Express \(y\) in terms of \(x\).
- Find the value of \(x\) for which \(AE + EC\) has a stationary value.
- Hence determine the nature of this stationary value and find its value.
Video Solution:
Video solution locked
A free account saves your progress; this video needs tuition enrolment.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:(i) \(y=4+\dfrac{36}{x}\) (ii) \(x=6\text{ m}\) (iii) Minimum value \(25\text{ m}\)
Need help? Join our JC Math tuition classes.
Learn more