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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 3

Identify the expression for the gradient of the chord joining the point (x, f(x))(x,\, f(x))(x,f(x)) to the point (x+h, f(x+h))(x + h,\, f(x + h))(x+h,f(x+h)) on the curve y=f(x)y = f(x)y=f(x).

Tick one box.

A

f(x+h)+f(x)h\dfrac{f(x + h) + f(x)}{h}hf(x+h)+f(x)​

B

f(x+h)−f(x)x\dfrac{f(x + h) - f(x)}{x}xf(x+h)−f(x)​

C

f(x+h)−f(x)h\dfrac{f(x + h) - f(x)}{h}hf(x+h)−f(x)​

D

f(h)−f(x)h\dfrac{f(h) - f(x)}{h}hf(h)−f(x)​

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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