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Differentiation

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Question 42

A curve has the equation y=2x3−18x2+48x−25y = 2x^3 - 18x^2 + 48x - 25y=2x3−18x2+48x−25

a.

The curve has a local minimum at PPP, find the coordinates of PPP.

[4]
b.

Justify that P P\,P is a minimum point.

[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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