1 Determine where the absolute extrema of fx3x232x on the in

1. Determine where the absolute extrema of f(x)=3x2/32x on the interval [1,1] occur.
a) The absolute maximum occurs at x?
b) The absolute minimum occurs at x?

2. Let f(x) be a function such that f(x)=x(ln|x|)2.
Find the open interval(s) in which f(x) is concave down .

In interval notation, f(x) is concave down in?

Solution

1. Determine where the absolute extrema of f(x)=3x2/32x on the interval [1,1] occur. a) The absolute maximum occurs at x? b) The absolute minimum occurs at x? 2

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