Find Where Increasing/Decreasing x^3-10x^2+27x-18

$x^{3} - 10 x^{2} + 27 x - 18$

Step 1

Graph the polynomial in order to determine the intervals over which it is increasing or decreasing.

Increasing on: $(- \infty, \frac{10 - \sqrt{19}}{3}), (\frac{10 + \sqrt{19}}{3}, \infty)$

Decreasing on: $(\frac{10 - \sqrt{19}}{3}, \frac{10 + \sqrt{19}}{3})$

Step 2