14: The domain is
D( f ) = ℝ.
The derivative is
![](gif6/ecc6bf2.gif)
Critical points: The equation
f ′(x) = 0 has solution
x = 0.
The derivative does not exist at x = −1.
Intervals of monotonicity will be
(−∞,−1),
(−1,0], and
[0,∞).
Determine monotonicity and local extrema using a chart.
Next hint
Answer