Critical points occur where the gradient is zero. This is guaranteed whenever
and either
or
.
The Hessian matrix for this function looks like
and has determinant
Maxima occur whenever the determinant is positive and
. Minima occur whenever both the determinant and
are positive. Saddle points occur whenever the determinant is negative.
At
, you have a saddle point since the determinant reduces to -324, so
is the saddle point.
At
, the determinant is
and
, so
is a local maximum.
No other critical points remain, so you're done.
B. x<3 is the answer to the question you have asked
That means that it has 2 complex roots, and it has no x intercepts, means that it doesn't touch the x axis at all
Answer:
The variable can be any letter.
Step-by-step explanation:
