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
A start to this problemw ould greatly be appreciated.
Thank you in advance!
Thank you for your response.
I understand all except that in the tangent line equation, why would the "x" in y=mx+b be (x-b)? That part seems somewhat confusing.
And From there, would you plug 1 into the tangent line equation to find A(1), which would be 5?