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Core Pure: polar coordinates and hyperbolic functions

Quick questions on Calculus with hyperbolic functions: derivatives, integrals and hyperbolic substitution - OCR A-Level Further Maths A

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 wrong substitution choice?
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Use sinh⁡\sinh for x2+a2\sqrt{x^2 + a^2} and cosh⁡\cosh for x2−a2\sqrt{x^2 - a^2}; swapping them leaves a square root you cannot simplify.
What is q1?
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Differentiate cosh⁡3x\cosh 3x. [1 mark]
What is q2?
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State the substitution to integrate 1x2−16\dfrac{1}{\sqrt{x^2 - 16}}. [1 mark]

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