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Comment : Convolutions quiz
Comment : This quiz is designed to test your knowledge of convolutions of 2pi - periodic functions.
Comment : Note: in this entire quiz, the expression f*g denotes convolution of f and g, while the expression fg denotes the pointwise product of f and g.
Comment : The expression hat(f) denotes the Fourier transform of f, thus hat(f)(n) is the n^th Fourier coefficient of f.

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Question 1: Let f and g be continuously differentiable 2pi-periodic functions. The derivative (f*g)' of the convolution f*g is given by

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	(f')*g
	f*(g') + (f')*g
	(f')*(g')
	(g')*(f')
	f*(g')
	In general, there is no simple formula available.