CAIE P1 2013 November — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2013
SessionNovember
TopicDifferentiating Transcendental Functions

3 The equation of a curve is \(y = \frac { 2 } { \sqrt { } ( 5 x - 6 ) }\).
  1. Find the gradient of the curve at the point where \(x = 2\).
  2. Find \(\int \frac { 2 } { \sqrt { } ( 5 x - 6 ) } \mathrm { d } x\) and hence evaluate \(\int _ { 2 } ^ { 3 } \frac { 2 } { \sqrt { } ( 5 x - 6 ) } \mathrm { d } x\).