Exercise 1 Finite differences can be used to estimate the derivative (rate of change) of some data. Consider a sequence yi. A first order finite difference is defined as, We can use this to estimate the derivative as, var).th where h is the step size (zi+1- Ti). Create a program that uses a for loop to estimate the rate of change of y defined as, y = numpy.sin(numpy.arange (10)*h) Hint: the final array will have one less element than y