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Differentiation

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Question 511

The volume VVV, in cubic centimetres, of a gas within a high-pressure bellows pump is modelled by the function

V(t)=4000(2t−1)3,t>0.5 V(t) = \frac{4000}{(2t - 1)^3}, \quad t > 0.5 V(t)=(2t−1)34000​,t>0.5

where ttt is the time in seconds.

Determine the equation of the tangent to the curve V(t)V(t)V(t) at the instant t=1.5t = 1.5t=1.5. Give your answer in the form V=mt+cV = mt + cV=mt+c.

[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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