Edexcel C3 2010 June — Question 2

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2010
SessionJune
TopicChain Rule

2. A curve \(C\) has equation $$y = \frac { 3 } { ( 5 - 3 x ) ^ { 2 } } , \quad x \neq \frac { 5 } { 3 }$$ The point \(P\) on \(C\) has \(x\)-coordinate 2. Find an equation of the normal to \(C\) at \(P\) in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.