Question: For the function f (x) = tan(x) 4x on the interval (/2, /2), determine the critical points, on which intervals f (x) is increasing, on

For the function f (x) = tan(x) 4x on the interval (/2, /2), determine the critical points, on which intervals f (x) is increasing, on which intervals f (x) is decreasing, on which intervals f (x) is concave up, and on which intervals f(x) is concave down. Find the local extrema using the second derivative test. Use this information to sketch the graph.

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