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Tangent Line for an Integral Function

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Let ff be the function defined by f(x)=∫π/6xtan⁡t dtf(x)=\int_{\pi/6}^{x}\tan t\, dt. What is an equation of the line tangent to the graph of ff at x=π6x=\frac{\pi}{6}?

A

y=12(x−π6)y=\frac{1}{2}\left(x-\frac{\pi}{6}\right)

B

y=33(x−π6)y=\frac{\sqrt{3}}{3}\left(x-\frac{\pi}{6}\right)

C

y=x−π6y=x-\frac{\pi}{6}

D

y=0y=0

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