3.6.5 Differentiation (A-level only)

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

\frac{4t + 8}{\sqrt{2t + 1}}, \quad t > -0.5

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

Find $C^{'} (t)$ , giving your answer in simplest form.

[4]

Hence, determine the range of values for the concentration $C$ .

[3]

3.6.5 Differentiation (A-level only) Questions

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

\frac{4t + 8}{\sqrt{2t + 1}}, \quad t > -0.5

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

Find $C^{'} (t)$ , giving your answer in simplest form.

[4]

Hence, determine the range of values for the concentration $C$ .

[3]