Using Python,

1 Numerical Differentiation Write a program that implements the erical differentiation method o(e at the point a backward differenc and central difference uing forward difference, Determine the optimal value of h assuming E = 7x10-17 Use your program to determine the optimal value of experimentally 2 Numerical Integration Write a program that implements the numerical integration 0 using constant approximation at the midpoint . Determine a value of h that guarantees that the absolute error is smaller than 10-10