AQA C1 2006 June — Question 3

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2006
SessionJune
TopicDifferentiation Applications
TypeFind tangent line equation

3 A curve has equation \(y = 7 - 2 x ^ { 5 }\).
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
  2. Find an equation for the tangent to the curve at the point where \(x = 1\).
  3. Determine whether \(y\) is increasing or decreasing when \(x = - 2\).