CAIE P1 2022 November — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2022
SessionNovember
TopicIntegration by Substitution

2 The equation of a curve is such that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 12 \left( \frac { 1 } { 2 } x - 1 \right) ^ { - 4 }\). It is given that the curve passes through the point \(P ( 6,4 )\).
  1. Find the equation of the tangent to the curve at \(P\).
  2. Find the equation of the curve.