Tangent Line to an Integral Function

Question

The function $$f$$ is defined by $$f(x)=\int_{\pi/6}^{x}	an t\, dt$$. Which of the following is an equation of the line tangent to the graph of $$f$$ at $$x=\frac{\pi}{6}$$?

Accepted Answer

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

Answer

$$y=x-\frac{\pi}{6}$$

Answer

$$y=0$$

Answer

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

Tangent Line to an Integral Function

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