6.12 Given
f(x) = -2x1.5x + 10x + 2
Use a root location technique to determine the maximum of this
function. Perform iterations until the approximate relative error
falls below 5%. If you use a bracketing method, use initial guesses
of x = 0 and x,-1. If you use the Newton-Raphson or the modi-
fied secant method, use an initial guess of x
1. If you use the
secant method, use initial guesses of x,-10 and x,- 1. Assuming
that convergence is not an issue, choose the technique that is best
suited to this problem. Justify your choice.
Fig: 1