AQA FP1 2009 June — Question 2

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2009
SessionJune
TopicDifferentiation from First Principles

2 A curve has equation $$y = x ^ { 2 } - 6 x + 5$$ The points \(A\) and \(B\) on the curve have \(x\)-coordinates 2 and \(2 + h\) respectively.
  1. Find, in terms of \(h\), the gradient of the line \(A B\), giving your answer in its simplest form.
  2. Explain how the result of part (a) can be used to find the gradient of the curve at \(A\). State the value of this gradient.