CAIE P2 2015 June — Question 7

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2015
SessionJune
TopicImplicit equations and differentiation

7
  1. Find the gradient of the curve $$3 \ln x + 4 \ln y + 6 x y = 6$$ at the point \(( 1,1 )\).
  2. The parametric equations of a curve are $$x = \frac { 10 } { t } - t , \quad y = \sqrt { } ( 2 t - 1 ) .$$ Find the gradient of the curve at the point \(( - 3,3 )\).