$A$ point is moving on the curve $y=x^3-3x^2+2x-1$ and the $y$-coordinate of the point is increasing at the rate of $6 \text{ units/sec}$. When the point is at $(2, -1)$,the rate of change of the $x$-coordinate of the point is:
- A$3$
- B$\frac{1}{2}$
- C$-\frac{1}{2}$
- D$-3$
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