Let f(x)= 6-x². For 0 < w < √6 , let A(w) represent the area of the triangle created by the coordinate axes and the line tangent to the graph of f at the point (w, 6-w²). Find A(1).

Here is the Diagram of what I'm attempting to work with

http://img472.imageshack.us/img472/50/a5nt.jpg

A start to this problemw ould greatly be appreciated.

Thank you in advance!