Level:
Project ID:
9000145408
Accepted:
1
Clonable:
0
Easy:
0
Identify a true statement on the function
\(f(x) = \left (x - 1\right )^{3}\left (x + 1\right )^{2}\).
The function \(f\) has neither local
minimum nor maximum at \(x = 1\).
The global maximum of \(f\)
on \(\mathbb{R}\) is
at \(x = -1\).
The function \(f\) has a
local maximum at \(x = -\frac{1}
{5}\).
The function \(f\)
has three local extrema. These extrema are at
\(x = 1\),
\(x = -1\) and
\(x = -\frac{1}
{5}\).