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3. Consider the functionf(x) = (xx2)2on the interval [1,1].(a) Find all the critical points off(x). (b) Identify all the local and absolute maxima and minima.

3. Consider the functionf(x) = (xx2)2on the interval [1,1].(a) Find all the critical points off(x). (b) Identify all the local and absolute maxima and minima. c) Sketch the function, and highlight the minima and maxima, and label them as local or absolute.

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