Please answer using Python

1.7. (a) Write a program to compute an approximate value for the derivative of a function using the finite-difference formula f(x)hf(x+h)f(x). Test your program using the function tan(x) for x=1. Determine the error by comparing with the square of the built-in function sec(x). Plot the magnitude of the error as a function of h, for h=10k,k=0,,16. You should use log scale for h and for the magnitude of the error. Is there a minimum value for the magnitude of the error? How does the corresponding value for h compare with the rule of thumb hmach derived in Example 1.3? (b) Repeat the exercise using the centered difference approximation f(x)2hf(x+h)f(xh)