Consider the Cobb$-$Douglas Production function: $P(L,K)=19L0\mathrm{.}6K0\mathrm{.}4$ Find the marginal productivity $of$ labor and marginal productivity $of$ capital when $13$ units $of$ labor and $16$ units $of$ capital are invested. $(Your$ answers will $be$ numbers, not functions $or$ expressions$).$ Give your answer $to$ three $(3)$ decimal places $if$ necessary. Marginal Productivity $of$ Capital when $Lis13$ and $Kis16=$

$(8pts)$ Use the following information $to$ graph a function $f(x).$

Domain: $(-,-4)(-4,)$

A vertical asymptote $atx=-4.$

$\underset{x}{lim}f(x)=0.$

$f(1)=-5,f(4)=-2,f(-6)=5,$ and $f(-3)=0$

$f^{\text{'}}(-6)=0$ and $f^{\text{'}}(1)=0$

$f^{\text{'}\text{'}}(4)=0$

$f^{\text{'}}(x)>0on(-6,-4)$ and $(1,)$

and $(-4,1)$

$f^{\text{'}\text{'}}(x)>0on(-,-4)$ and $(-4,4)$