# differentiable function

Printable View

• May 18th 2010, 12:52 PM
euclid2
differentiable function
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
• May 18th 2010, 01:17 PM
Deadstar
Should just be a simple case of determining f'(x) near 1,-2 and -3.

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