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

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- May 18th 2010, 12:52 PMeuclid2differentiable 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 PMDeadstar
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 $\displaystyle (-\infty, -3)$, $\displaystyle (-3,-2) $, $\displaystyle (-2,1)$, $\displaystyle (1,\infty)$