Question: 4. Consider the function 1 f(z) = IE (-2,0] 2x +3 Divide the domain into 9 evenly spaced points and determine at each point

4. Consider the function 1 f(z) = IE (-2,0] 2x +3 Divide

4. Consider the function 1 f(z) = IE (-2,0] 2x +3 Divide the domain into 9 evenly spaced points and determine at each point (where possible): (a) The first derivative using forward differences (b) The first derivative using central differences (c) The second derivative using central differences (d) The third derivative using central differences (e) The analytical value of the derivatives; compare these with the approximations of (a)-(d).

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