4 The value of fxx at the point 006 in the graph shown below

4. The value of fxx at the point (0,0,6) in the graph shown below would be:

I know the answer is C, but I don\'t know why.

4. The value of f at the point (0,0,6) in the graph shown belowwould be A) poitivc C) negative B) zero D) no conclusion can be drawn

Solution

It would be negative because the curve along x axis is concave down around the given point. And second derivative f_xx gives the curvature of the curve along x axis. Negative implies concave down and positive is for concave up.