Q4. First approximate the derivative of the following function at xo = 1 using three-point midpoint formula with h = 0.25, 0.5, 1. Then use Richardson's extrapolation to derive a more accurate approximation. f (x) = e*Cos(x) Use at least 6 digits arithmetic in calculations.

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Chapter2: Second-order Linear Odes
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Q4. First approximate the derivative of the following
function at xo = 1 using three-point midpoint formula
with h = 0.25, 0.5, 1. Then use Richardson's
extrapolation to derive a more accurate approximation.
f (x) = e*Cos(x)
Use at least 6 digits arithmetic in calculations.
Transcribed Image Text:Q4. First approximate the derivative of the following function at xo = 1 using three-point midpoint formula with h = 0.25, 0.5, 1. Then use Richardson's extrapolation to derive a more accurate approximation. f (x) = e*Cos(x) Use at least 6 digits arithmetic in calculations.
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