can anyone help me solve this in python 2.7 version please. Don\'t need the grap

Question

can anyone help me solve this in python 2.7 version please. Don't need the graphical help, just need the data.

Consider the function f(x) = x3 2x + 4 on the interval [2, 2] with h = 0.25. Use the forward, backward, and centered finite difference approximations for the first and second derivatives so as to graphically illustrate which approximation is most accurate. Graph all three first-derivative finite difference approximations along with the theoretical, and do the same for the second derivative as well.

Explanation / Answer

%Consider the function f(x)=x^3-2*x+4 on the interval [-2,2] with
h=0.25.
%Use the forward, backward, and centered finite difference
approximations
%for the first and second derivatives so as to graphically illustrate
which
%approximatin is most accurate. Graph all three first-derivative
finite
%difference approximations along with the theoretical, and do the
same for
%the second derivative as well.
function deriv

h=0.25
f(x)=x^3-2*x+4
f'(x)=3*x^2-2 %1st derivative of f(x)
f''(x)=6*x %2nd derivative of f(x)
x2=(-2:.25:2)
x1=x2-h
x3=x2+h
x(i-1)=.25
x(i)=.50
x(i+1)=.75
f'(.25)=(f(x(i+1))-f(x(i)))/h %Forward difference
f'(.25)=(f(x(i))-f(x(i-1)))/h %Backward difference
f'(.25)=(f(x(i+1))-f(x(i-1)))/h %Central difference

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