Suppose the production function is Cobb$-$Douglas and f$($x$1,$ x$2)=$ x$1/2$

$1$ x$3/2$

$2.$

$($a$)$ Write an expression for the marginal products of x$1$ and x$1.$

$($b$)$ Is the marginal product of x$1$ increasing or decreasing for small increases

in x$1,$ holding x$2$ fixed?

$($c$)$ Is the marginal product of x$2$ increasing or decreasing for small increases

in x$2,$ holding x$1$ fixed?