CAIE P1 2020 March — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2020
SessionMarch
TopicDifferentiation Applications
TypeRelated rates problems

4 A curve has equation \(y = x ^ { 2 } - 2 x - 3\). A point is moving along the curve in such a way that at \(P\) the \(y\)-coordinate is increasing at 4 units per second and the \(x\)-coordinate is increasing at 6 units per second. Find the \(x\)-coordinate of \(P\).