The derivative of the polynomial is:
$$y' = \frac{7}{3}x^6 - 34x$$
To find the critical points, we need to solve the equation $y' = 0$. Setting the derivative equal to zero, we have:
$$\frac{7}{3}x^6 - 34x = 0$$
Factoring out an $x$, we get:
$$x(\frac{7}{3}x^5 -
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