Question 2: Newton's Method (4 points) Newton's method (also known as the Newton-Raphson method) is an iterative way to find the roots of a function-that is, the values of x such that f(x)0. The idea is this: given a function, f(x), take an initial guess of the roots, . You can then find your next guess as: =xo_F f(xo) f'(xo) Where f'(x) is the derivative f(x).f(x will be closer to 0 than fx) Your original guess does not have to be close to an actual root, it will converge regardless. For a more detailed description of the algorithm, see: https:llen.wikipedia.org/wiki/Newton%27s method Write a function, newton(f, fprime, eps) that takes a function, its derivative, and a tolerance as output, and returns a value of x that evaluates to approximately 0 within eps (that is. If(x)|