Indicate the number of one$-$dimensional steps required for the minimization of the function

f $=$ x

$2$

$1+$ x

$2$

$22$x$14$x$2+5$ according to each scheme:

$($e$)$ Powell$$s method

$($f$)$ Random search method

$($g$)$ BFGS method

$($h$)$ Univariate method