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QLDMath MethodsQuick questions
Unit 2: Calculus
Quick questions on Stationary points, classification and optimisation (QCE Math Methods Unit 2)
4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is forgetting the $y$-coordinate?Show answer
A stationary point is a point, so report both $x$ and $y$.
What is skipping the sign test?Show answer
Setting $f'(x) = 0$ finds candidate stationary points. Without a classification, you cannot tell which are maxima, minima, or points of inflection.
What is treating local extrema as global?Show answer
A local maximum is the largest value in a neighbourhood. The global maximum might be at an endpoint of the feasible region.
What is forgetting the domain in optimisation problems?Show answer
A rectangle with negative or zero side length is not physically meaningful. Enforce the practical domain (e.g. $0 < x < 20$ for a $40$ m fence).
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