AQA C3 2007 January — Question 6

Exam BoardAQA
ModuleC3 (Core Mathematics 3)
Year2007
SessionJanuary
TopicProduct & Quotient Rules

6
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) when:
    1. \(y = \left( 4 x ^ { 2 } + 3 x + 2 \right) ^ { 10 }\);
    2. \(y = x ^ { 2 } \tan x\).
    1. Find \(\frac { \mathrm { d } x } { \mathrm {~d} y }\) when \(x = 2 y ^ { 3 } + \ln y\).
    2. Hence find an equation of the tangent to the curve \(x = 2 y ^ { 3 } + \ln y\) at the point \(( 2,1 )\).