2.99
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The function f (x) = sin (x + sin 2x), 0 < x < π, arises in applications to frequency modulation (FM) synthesis.

(a). Use a graph of f produced by a graphing device to make a rough sketch of the graph of f'.

(b). Calculate f (x) and use this expression, with a graphing device, to graph f'. Compare with your sketch in part (a).