Answer:
The coordinate of the relative maximum is x=4.
Step-by-step explanation:
Given that the derivative of the function is
, the maxima and minima or the critical points can be found where
that is:
The solutions to this equation are and
Now, if the second derivative for a function
is negative at a critical point, then the critical point is the relative maximum.
Therefore we want to see at which of the two critical points is negative. The second derivative is:
Now is
, and
is
, therefore we deduce that the relative maxium is located at
, because there the second derivative
is negative.