The concentration, CCC, of a chemical reagent in a reaction vessel is modeled by the equation
C=52t4+0.8t,t≥1 C = \frac{5}{2t^4} + 0.8^t, \quad t \ge 1 C=2t45+0.8t,t≥1where t t\,t is the time in minutes.
Find an expression for dCdt\displaystyle \frac{dC}{dt}dtdC.
Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
