Determine the intervals on which f is increasing or decreasing and whether each of the critical points is a local maximum, minimum, or neither. f(x) = x^4 + 3x^3 + 3x^2 +1

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Given `f(x)=x^4+3x^3+3x^2+1` :

To determine where the function is increasing or decreasing we look at the first derivative. If the first derivative is positive on aninterval then the function is increasing on the interval; if negative then the function is...

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