OCR C2 — Question 6

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
TopicStandard Integrals and Reverse Chain Rule
6. Given that $$\mathrm { f } ^ { \prime } ( x ) = 5 + \frac { 4 } { x ^ { 2 } } , \quad x \neq 0$$
  1. find an expression for \(\mathrm { f } ( x )\). Given also that $$\mathrm { f } ( 2 ) = 2 \mathrm { f } ( 1 ) ,$$
  2. find \(\mathrm { f } ( 4 )\).
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