`f(x) = x/(x^2 - x + 1), [0, 3]` Find the absolute maximum and minimum values of f on the given interval

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Given: `f(x)=x/(x^2-x+1), [0,3].`

Find the critical values by setting the first derivative equal to zero and solving for the x values. Find the derivative using the quotient rule.







The critical values are x=1 and x=-1. Substitute the critical values and the endpoints of the interval [0, 3] in to the original f(x) function. Do NOT substitute in the x=-1 because...

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