You must determine the root of the following easily differentiable function: 0.5x5-5x pick the best numerical technique, justify your choice, and then use that technique to determine the root. note that t is known that for positive initial guesses, all techniques except fixed-point iteration will eventually converge. perform iter- ations until the approximate relative error falls below 2%. if you use a bracketing method, use initial guesses of xi =0 and x 2. if you use the newton-raphson or the modified secant method, use an initial guess of xi =0.7. if you use the secant method, use initial guesses of x-0 and xi = 2.