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

Question 5: Given the function f(x)=41x2, compute the first derivative of f(x) at x=2 using forward and backward differencing of O(x). Compare the results with central difference method of O(x)2 and the exact analytical value. Use a step size of x=0.1. Repeat the computations for a step size x=0.4