OCR MEI C2 2011 June — Question 3

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2011
SessionJune
TopicDifferentiation from First Principles

3 The equation of a curve is \(y = \sqrt { 1 + 2 x }\).
  1. Calculate the gradient of the chord joining the points on the curve where \(x = 4\) and \(x = 4.1\). Give your answer correct to 4 decimal places.
  2. Showing the points you use, calculate the gradient of another chord of the curve which is a closer approximation to the gradient of the curve when \(x = 4\).