The derivative f'(x0) can be approximated by a five-point formula derived from Lagrange interpolation. One such formula is written down as f'(x0) ≈ 1/12h[−25f(x0) + 48f(x0 + h) − 36f(x0 + 2h) + 16f(x0 + 3h) + af(x0 + 4h)], where a indicates a number that cannot be seen clearly. Determine the number a.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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The derivative f'(x0) can be approximated by a five-point formula derived
from Lagrange interpolation. One such formula is written down as

f'(x0) ≈ 1/12h[−25f(x0) + 48f(x0 + h) − 36f(x0 + 2h) + 16f(x0 + 3h) + af(x0 + 4h)],

where a indicates a number that cannot be seen clearly. Determine the number a.

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