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 calculator to make a rough sketch of the graph of f′.
(b) Calculate f′(x) and use this expression, with a calculator, to graph f′. Compare with your sketch in part (a).
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