Question: Consider the function f ( x ) = x 2 3 x + 2 / x 4 . a . Find the first derivative. b

Consider the function f(x)= x23x +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.

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