Share
Explore BrainMass

Intervals of increase/ decrease

Over which interval is f(x) = x^3 - 12x^2 + 36x + 1 decreasing?

Solution Preview

We set y' = 3x^2 - 24x + 36 = 0 and solve for x
3x^2 - 24x + 36 = 0
implies that x^2 - 8x + 12 = 0
implies that x^2 - 8x ...

Solution Summary

A function can be increasing or decreasing in an interval. To ascertain the intervals of increase or decrease the derivative test is used as illustrated in this problem.

$2.19