9.5 The Quotient Rule
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A chemical engineer monitors the concentration, C C\,C mmol/L, of a reagent in a reaction vessel, which is modeled by the function

C(t)=4t+82t+1,t>−0.5 C(t) = \frac{4t + 8}{\sqrt{2t + 1}}, \quad t > -0.5 C(t)=2t+1​4t+8​,t>−0.5

where t t\,t is the time in minutes from the start of the reaction.

a.

Find C′(t)C'(t)C′(t), giving your answer in simplest form.

[4]
b.

Hence, determine the range of values for the concentration CCC.

[3]

9.5 The Quotient Rule Questions

Practise Edexcel A Level Maths 9.5 The Quotient Rule with exam-style questions for A Level Maths. 29 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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9.5 The Quotient Rule Questions

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