Example 3.  Find the local maximum of the function    in the interval  .

Solution 3.

We see that the local maximum lies in the interval  .

So we will search for the local minimum of     in the interval  .

Therefore, to find the local maximum of   we take the negative of the local minimum of  .   

Let us compare this answer with Mathematica's subroutine FindMinimum.

(c) John H. Mathews 2004