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+15t+20Find, in simplest form, an expression for C′(t)C'(t)C′(t).
Hence, determine the exact range of the function CCC.
