10: The domain is D( f ) = (0,∞).
The derivative is

Critical points: The equation f ′(x) = 0 has solutions x = e⁻² and x = 1.
There are no points in D( f ) where the derivative does not exist.

Intervals of monotonicity will be (0,e⁻²], [e⁻²,1], and [1,∞). Determine monotonicity and local extrema using a chart.

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