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.
133 exam-style questions on WJEC A Level Maths 3.6.5 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.