5. For each part, use the first derivative test to find the intervals of increase or decrease and any local extrema of the function. (6 marks) a) $f (x) = \frac{3 x ^{2} ? x ? 2}{x ? 2}$ b) $f (x) = x ln (x^{3})$ $f^{?} (x) = \frac{3 x ^{2} ? 12 x + 4}{( x ? 2 ) ^{2}}$ $f^{?} (x) = 3 ln (x) + 3$

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5. For each part, use the first derivative test to find the intervals of increase or decrease and any local extrema of the function. (6 marks) a)

f (x) = \frac{3 x ^{2} ? x ? 2}{x ? 2}

b)

f (x) = x ln (x^{3})

f^{?} (x) = \frac{3 x ^{2} ? 12 x + 4}{( x ? 2 ) ^{2}}

f^{?} (x) = 3 ln (x) + 3

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