CAIE P1 2012 June — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2012
SessionJune
TopicConnected Rates of Change

2 The equation of a curve is \(y = 4 \sqrt { } x + \frac { 2 } { \sqrt { } x }\).
  1. Obtain an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
  2. A point is moving along the curve in such a way that the \(x\)-coordinate is increasing at a constant rate of 0.12 units per second. Find the rate of change of the \(y\)-coordinate when \(x = 4\).