To find the critical points, set the expression equal to zero:
\[
x(x - 1)(x + 7) = 0
\]
The solutions to this equation are:
\[
x = 0, \quad x - 1 = 0 \Rightarrow x = 1, \quad x + 7 = 0 \Rightarrow x = -7
\]
So, the critical points are \( x = -7, 0, 1 \).
Show more…