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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 2

A student attempts to differentiate f(x)=4xf(x)=4xf(x)=4x from first principles and writes f′(x)=lim⁡h→04(x+h)−4xxf'(x)=\displaystyle\lim_{h\to0}\dfrac{4(x+h)-4x}{x}f′(x)=h→0lim​x4(x+h)−4x​.

Identify the error and complete a correct first-principles derivation.

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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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