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.
717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.