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Differentiation

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Question 621

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]
Markscheme

Differentiation Questions

  1. A Level
  2. /Maths
  3. /Differentiation

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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