Edexcel P1 2020 October — Question 9

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2020
SessionOctober
TopicStandard Integrals and Reverse Chain Rule

9. A curve with equation \(y = \mathrm { f } ( x )\) passes through the point \(( 9,10 )\). Given that $$f ^ { \prime } ( x ) = 27 x ^ { 2 } - \frac { 21 x ^ { 3 } - 5 x } { 2 \sqrt { x } } \quad x > 0$$ find \(\mathrm { f } ( x )\), fully simplifying each term.