Consider the function $f(x)=\frac{x^{2}x-2}{x-4}.$

a$.$ Find the first derivative. of

b$.$ List any critical values. $$

c$.$ Mentily intervals ef fincrease.

d$.$ Identify intervals of decrease. $(-x,024)(8\mathrm{.}24,x)$

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e$.$ Find the second derivaitre, $f^{\text{'}\text{'}}(z)=36(x-4)$

f$.$ Baned on parts b through e$,f(z)$ has a maximum of $y=$

$$ of when $x-$

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$8.$ Based on purts b through e$,f(z)$ has a minimum of $y=$ of when $z=$

of

h$.$ Use the second dericative to identify intervals where $f(x)$ is concave up$.$

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Use the second derivative to identify intervals atere $f(x)$ is concare down.

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

k$.$ State any wertical anymototes. $$

L$.$ State any Junt aiymototes. $$