# An application of the Tangent Plane

## Question 6

You live in a town in southern California recently experiencing
drastic floods. The rains are coming and you are starting to
panic, you must find high ground now! You
can describe the land you live on with the function **
f(x,y)=-(x-2)^2-y^2-y**
What is the safest place for you to be as the rain falls down
(Place where you will survive the longest)? What does this have to
do with the tangent plane and the partial derivatives? Can you
generalize your answer to finding "safest spots" for any f(x,y)
using the tangent plane and the partial derivatives?

Back: **Problems with The Tangent Plane**