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Find the relative extrema and inflection points of the following function. (If an answer does not exist, enter DNE.) f(X)=X42x3+2X1=(x1)3(x+1) ) local minimum at (x,

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Find the relative extrema and inflection points of the following function. (If an answer does not exist, enter DNE.) f(X)=X42x3+2X1=(x1)3(x+1) ) local minimum at (x, y) local maximum at (X, y) = ( ( inflection point (X, y) = ( ( (larger xvvalue) inflection point (X, y) = ) ) (smaller x-value) ) Sketch a graph of the function

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