OCR MEI Further Numerical Methods 2024 June — Question 1

Exam BoardOCR MEI
ModuleFurther Numerical Methods (Further Numerical Methods)
Year2024
SessionJune
TopicSign Change & Interval Methods
TypeNumerical Differentiation Estimates
1 The table shows some values of \(x\), together with the associated values of a function, \(\mathrm { f } ( x )\).
\(x\)1.922.1
\(\mathrm { f } ( x )\)0.58420.63090.6753
  1. Use the information in the table to calculate the most accurate estimate of \(f ^ { \prime } ( 2 )\) possible.
  2. Calculate an estimate of the error when \(f ( 2 )\) is used as an estimate of \(f ( 2.05 )\).
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