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1.9.2 Gradient as limit of chord gradient

1.9.2 Gradient as limit of chord gradient

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Question 1

For the curve y=5x2y=5x^2y=5x2, let mh m_h\,mh​ be the gradient of the chord joining the points with xxx-coordinates 2 and 2+h2+h2+h.

a.

Show that mh=20+5hm_h=20+5hmh​=20+5h.

[3]
b.

Hence state the gradient of the tangent to the curve at the point where x=2x=2x=2.

[1]
Markscheme

1.9.2 Gradient as limit of chord gradient Questions

  1. A Level
  2. /Maths
  3. /1.9.2 Gradient as limit of chord gradient

8 exam-style questions on OCR (MEI) A Level Maths 1.9.2 Gradient as limit of chord gradient. Each one has a worked solution and a mark scheme showing where the marks go.

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