Edexcel C3 2013 January — Question 1

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2013
SessionJanuary
TopicDifferentiation Applications
TypeFind tangent line equation
  1. The curve \(C\) has equation
$$y = ( 2 x - 3 ) ^ { 5 }$$ The point \(P\) lies on \(C\) and has coordinates \(( w , - 32 )\).
Find
  1. the value of \(w\),
  2. the equation of the tangent to \(C\) at the point \(P\) in the form \(y = m x + c\), where \(m\) and \(c\) are constants.
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