11: The domain is
D( f ) = ℝ.
The derivative is
![](gif6/ecc6bc2.gif)
Critical points: The equation
f ′(x) = 0 has solution
x = 2.
The derivative does not exist at x = 0 and
x = 0.
Intervals of monotonicity will be
(−∞,0],
[0,2], [2,3], and
[3,∞).
Determine monotonicity and local extrema using a chart.
Next hint
Answer