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QLDMath MethodsQuick questions

Unit 3: Further calculus and statistics

Quick questions on Optimisation and rates of change (QCE Mathematical Methods Unit 3)

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 the first derivative?
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The first derivative f(x)f'(x) measures the instantaneous rate of change. Its sign reveals function behaviour.
What is the second derivative?
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The second derivative f(x)f''(x) measures the rate of change of ff', equivalent to the concavity of ff.
What is the optimisation method?
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Every optimisation problem follows the same five steps.
What is related rates of change?
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When two or more related quantities change with time, the chain rule links their rates.

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