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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 277

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.

[4]
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3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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