CPM Homework Help : CALC Problem 5-86

Algebraically determine where $g(x)$ below is increasing, decreasing, concave up, and concave down.

$g(x) = x^3 − 2x^2 + x − 1$

Hint:

The function $f(x)$ is increasing when $f^\prime(x) > 0$ , and it is decreasing when $f^\prime(x) < 0$ .
The function is concave up when $f^{\prime\prime}(x) > 0$ , and it is concave down when $f^{\prime\prime}(x) < 0$ .