Skip to content

Course home

3.6.5 Differentiation (A-level only)

3.6.5 Differentiation (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120
Question 71

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]
Markscheme

3.6.5 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6.5 Differentiation (A-level only)

133 exam-style questions on WJEC A Level Maths 3.6.5 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank