Slope of a Tangent Line

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What is the slope of the line tangent to the graph of $y=\ln(\cos(x))$ at $x=\frac{\pi}{6}$ ?

$-\frac{\sqrt{3}}{3}$

$-\frac{1}{2}$

$\frac{\sqrt{3}}{3}$

$\frac{1}{\sqrt{3}}$

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Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	sgarv2513	2	2	0m 54s	146
#2	ramonkh37	2	5	0m 56s	114
#3	suhanakochhar006	1	1	0m 50s	50
#4	choiwonryeol	1	1	1m 17s	23
#5	winslowbelohlavek07	1	1	1m 39s	1
#6	yeejayc	1	1	1m 50s	-10
#7	berraoner2009	1	1	2m 31s	-51
#8	atombrain28	1	1	3m 20s	-100
#9	richa.tuli	1	2	3m 28s	-118
#10	jadetukpah56	0	1	1m 59s	-129

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