007A Sample Final 2, Problem 9

Spruce budworms are a major pest that defoliate balsam fir. They are preyed upon by birds. A model for the per capita predation rate (percentage of worms that are eaten) is given by

$f(N)={\frac {12N}{81+N^{2}}}$

where  $N$  denotes the density of spruce budworms measured in worms per square meter. Determine where the prediation rate is increasing and where it is decreasing.

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