# differentiable function

#### euclid2

suppose that f is a differentiable function with the derivative f'(x)=(x-1)(x+2)(x+3). determine the values of x for which the function f is increasing and the values for x for which the function is decreasing

I imagine there's an easier or probably a more rigorous approach but just test a value in each of the intervals $$\displaystyle (-\infty, -3)$$, $$\displaystyle (-3,-2)$$, $$\displaystyle (-2,1)$$, $$\displaystyle (1,\infty)$$