SPS SPS SM Pure 2024 September — Question 2

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2024
SessionSeptember
TopicProduct & Quotient Rules

  1. The curve \(C\) has equation
$$y = \frac { 5 x ^ { 3 } - 8 } { 2 x ^ { 2 } } \quad x > 0$$ Find an equation for the tangent to \(C\) at \(x = 2\) writing your answer in the form
\(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.
(5) \section*{(Total for Question 2 is 5 marks)}