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Math Help - intervals of increase and decrease

  1. #1
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    intervals of increase and decrease

    I need a bit of help here, I'm trying to figure out the intervals of increase and decrease, max and min points, intervals of concavity and any points of inflection for f(x)=x^3-x^2+4x-3, but I can't get through the increase and decrease intervals.
    I know to find the intervals I have to find when the first derivative equals zero, but thats exactly where I'm stuck.
    3x^2-2x+4=0; there's no common factor and I can't find a number for x that will make the equation equal 0.
    help please?
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  2. #2
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    Quote Originally Posted by jessee View Post
    I need a bit of help here, I'm trying to figure out the intervals of increase and decrease, max and min points, intervals of concavity and any points of inflection for f(x)=x^3-x^2+4x-3, but I can't get through the increase and decrease intervals.
    I know to find the intervals I have to find when the first derivative equals zero, but thats exactly where I'm stuck.
    3x^2-2x+4=0; there's no common factor and I can't find a number for x that will make the equation equal 0.
    help please?
    That is because f'(x) is never 0. I will be either be always positive or always negative. You need to determine which one.
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