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3.5.2 Differentiation (A-level only)

3.5.2 Differentiation (A-level only)

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Question 83

A biologist models the concentration of a particular catalyst, CCC, measured in mmol dm−3\text{mmol dm}^{-3}mmol dm−3, over time t t\,t minutes where t≥0t \ge 0t≥0. The concentration is given by the function:

C(t)=5t+202t+1 C(t) = \frac{5t + 20}{\sqrt{2t + 1}} C(t)=2t+1​5t+20​
a.

Find, in simplest form, an expression for C′(t)C'(t)C′(t).

[4]
b.

Hence, determine the exact range of the function CCC.

[3]
Markscheme

3.5.2 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5.2 Differentiation (A-level only)

109 exam-style questions on CCEA A Level Maths 3.5.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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