Hi today! Just reviewing another max-min problem here (this one is from Calculus by Gilbert Strang).

Submarines are located at the points (2,0) and (1,1). Choose the slopemthat the liney = mxgoes between the two submarines but stays as far as possible from the nearest one.

I found the solution to be 1/3. But, I did not need to use calculus. I found the solution by finding the midpoint of the segment that joins the two submarines (3/2,1/2) and then finding the slope of the line through that point and the origin.

How do I use calculus to solve this problem? Is my solution considered "correct"? Thanks for any reply!