Given f(x)=(x2-x-1)2 Find all the open intervals on which f(x) is increasing and all the open intervals on which f(x) is decreasing. Justify your answer with an appropriately labeled sign chart and/or an equivalent explanation. Be sure to show all work and test values to determine signs on the chart. Then determine the x-coordinates of all relative maxima and all relative minima of f(x).
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Using the chain rule and the power rule, we get: f'(x) = 2(x^2 - x - 1)(2x - 1) Show more…
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