Question: The function f () = sin( + sin 2), 0 x , arises in applications to frequency modulation (FM) synthesis. (a) Use a

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

(a) Use a graph of f produced by a calculator or computer to make a rough sketch of the graph of f'.

(b) Calculate f' (ϰ) and use this expression, with a calculator or computer, to graph f'. Compare with your sketch in part (a).

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