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1.10 G: Differentiation

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Question 234

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≥2

where 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.

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Markscheme

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, 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). Each one has a worked solution and a mark scheme showing where the marks go.

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