Question: MATH1044Project 32Task1Analyse the relative and absolute extrema for the function below by completing the steps indicated.f(x)=x33x2-5x52-13Manually find the derivative, f'(x). Don't use any technology belp

MATH1044Project 32Task1Analyse the relative and absolute extrema for the function below by completing the steps indicated.f(x)=x33x2-5x52-13Manually find the derivative, f'(x). Don't use any technology belp in this part. Show all work. List all derivative rules used. Do NOT simplify your final answer.Find the critical numbers for this function. Show all work and specify any kind of technology you used. State how you set things up in your device. Round numbers to 3 decimal points.CN where f'(x) DNE:CN where f'(x)=0 :

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