A biological culture's sensitivity to a stimulant, SSS, is modeled as a function of the concentration ccc (in mmol/L) by the formula:
S=(12c4−8c)9 S = \left( \frac{1}{2}c^4 - \frac{8}{c} \right)^9 S=(21c4−c8)9Use the chain rule to find an expression for the rate of change of sensitivity with respect to concentration, dSdc\frac{dS}{dc}dcdS.
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.
