Question

f(x)=(4x^2)/[(x^2)−4].

 Calculate the first derivative of f. Find the critical numbers of f, where it is increasing and decreasing, and its local extrema.

 

Find the left- and right-hand limits at the vertical asymptote x=−2, 2, INF, -INF

Calculate the second derivative of f. Find where f is concave up, concave down, and has inflection points.

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