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Question 5: Given the function f(x)=(1)/(4)x^(2) , compute the first derivative of f(x) at x=2 using forward and backward differencing of O(Delta x) . Compare
Question 5:\ Given the function
f(x)=(1)/(4)x^(2)
, compute the first derivative of
f(x)
at
x=2
using forward and backward differencing of
O(\\\\Delta x)
. Compare the results with central difference method of
O(\\\\Delta x)^(2)
and the exact analytical value. Use a step size of
\\\\Delta x=0.1
. Repeat the computations for a step size
\\\\Delta x=0.4
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