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Question 133

A simple model for the cost of a car journey £ C C\,C when a car is driven at a steady speed of v v\,v mph is

C=7200v+v+10 C = \frac{7200}{v} + v + 10 C=v7200​+v+10

For this model, the value of v v\,v which minimises the cost of the journey is 7200 \sqrt{7200}\,7200​ mph (84.9 mph to 3 significant figures).

Calculate the minimum cost of the journey

[2]
Markscheme

Differentiation Questions

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

264 exam-style questions on Edexcel A Level Maths Differentiation, covering 12.1 Gradients of Curves, 12.2 Differentiation from first principles, 12.3 Differentiating x^n, 12.4 Differentiating Quadratics, 12.5 Differentiating functions with two or more terms, 12.6 Gradients, Tangents and Normals, 12.7 Increasing and Decreasing Functions, 12.8 Second Order Derivatives, 12.9 Stationary Points, 12.10 Sketching Gradient Functions, and 12.11 Modelling with Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

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