Please write a python script!

1. f(x)=1f(x)=0 2. f(x)=xf(x)=1 3. f(x)=x2f(x)=2x 4. f(x)=xnf(x)=nxn1, for n=3 5. f(x)=xf(x)=1/(2x) 6. f(x)=exf(x)=ex 7. f(x)=2xf(x)=(loga)ax 8. f(x)=logxf(x)=1/x 9. f(x)=sinxf(x)=cos(x) 10. f(x)=cosxf(x)=sin(x) Problem 4. for each of 10 functions in problem 1 , write a script to compute f(x=1) using numerical differentiation with forward, backward and central differences for x=0.2. Summarize your results (rounded to 4 decimal digits) in the table as shown. For each row, color the closest value to exact in green and the furthest value in red. Discuss your findings