The thirtieth derivative of f(x)

 

Consider the function f(x) = 4 sin(3x + 1).
(a) Find f′(x).
(b) Find f′′(x).
(c) Find f(30)(x), the thirtieth derivative of f(x). Hint: Don’t actually compute all those derivatives, compute a few and try to find a pattern.

 

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