please write a maple program

15. The following describes Newton's method graphically: Suppose that f'(x) exists on [a,b) and that f'(x) + on [a, b]. Further, suppose there exists one p (a, b) such that f(p) = 0, and let po e fa.b] be arbitrary. Let p, be the point at which the tangent line to / at (po, s (po)) crosses the x-axis. For each n 2 1. let pa be the x-intercept of the line tangent to f at (P-1, SP-1)). Derive the formula describing this method