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1.10.1 The derivative and second derivative

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Question 3

A curve C C\,C has equation y=3x2+1y = 3x^2 + 1y=3x2+1

The point P(3,28)P(3, 28)P(3,28) lies on CCC.

a.

Find the gradient of the tangent to C C\,C at PPP.

[2]
b.

The point Q Q\,Q with xxx-coordinate 3+h3 + h3+h also lies on CCC. Find the gradient of the chord PQPQPQ, giving your answer in terms of h h\,h in its simplest form.

[3]
c.

Explain briefly the relationship between your answers to parts (b) and (a).

[1]
Markscheme

1.10.1 The derivative and second derivative Questions

  1. A Level
  2. /Maths
  3. /1.10.1 The derivative and second derivative

8 exam-style questions on AQA A Level Maths 1.10.1 The derivative and second derivative. Each one has a worked solution and a mark scheme showing where the marks go.

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