Consider the function f$($x$)=$ x$23$x $+2/$

x $4.$

a$.$ Find the first derivative.

b$.$ List any critical values.

c$.$ Identify intervals of increase.

d$.$ Identify intervals of decrease.

e$.$ Find the second derivaitve.

f$.$ Based on parts b through e$,$ has a maximum of when

g$.$ Based on parts b through e$,$ has a minimum of when

h$.$ Use the second derivative to identify intervals where is concave up$.$

i$.$ Use the second derivative to identify intervals where is concave down.

j$.$ Use the second derivative to find any inflection points.

k$.$ State any vertical asymptotes.

l$.$ State any slant asymptotes.