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Quick questions on Applying differential calculus: optimisation and rates - SQA Higher Maths

3short 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 q1?
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Find the value of xx that minimises y=x2−8x+3y = x^2 - 8x + 3. [3 marks]
What is q2?
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A particle has displacement s=t3−6t2s = t^3 - 6t^2 metres. Find its velocity at t=4t = 4. [3 marks]
What is q3?
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Find the greatest value of f(x)=12x−x3f(x) = 12x - x^3 on the interval [0,3][0, 3]. [4 marks]

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