### Home > APCALC > Chapter 3 > Lesson 3.4.4 > Problem3-190

3-190.

Determine algebraically where $y = x^3 +\frac { 3 } { 2 }x^2 − 6x + 2$ is decreasing. Then, check your answer by graphing the function on your graphing calculator. How did a derivative help you solve this problem?

$y$ decreases where $y ^\prime < 0$. Using this information, set up an inequality and solve it.