Skip to content

Course home

3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278
Question 133

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 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank