The population NNN (in thousands) of a specific bacterial culture is modeled by the function
N(t)=14(t3−7)4,t≥2 N(t) = \frac{1}{4}(t^3 - 7)^4, \quad t \ge 2 N(t)=41(t3−7)4,t≥2where ttt is the time in hours since the start of the observation.
Determine the equation of the tangent to the curve N(t)N(t)N(t) at the point where t=2t = 2t=2.
Practise Edexcel A Level Maths 9.3 The Chain Rule with exam-style questions for A Level Maths. 51 questions, matched to the Edexcel A Level Maths (9MA0) 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.
