If the normal to the curve $y = f(x)$ at the point $(4, 6)$ makes an angle $\frac{2\pi}{3}$ with the positive $x$-axis in the anticlockwise direction,then $f'(4)$ is:

  • A
    $\sqrt{3}$
  • B
    $-\sqrt{3}$
  • C
    $\frac{1}{\sqrt{3}}$
  • D
    $-\frac{1}{\sqrt{3}}$

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