Sign of second derivative from contour

[1MileCrash]

Homework Statement

Attached

Homework Equations

The Attempt at a Solution

At (-1, -5), moving up along y causes a drop in the value of the function, so the first derivative wrt y is negative.

Since the contour lines also get closer in this direction, the function is dropping at in increasing rate, so the second derivative yy is negative.

Is that all there is to it?

 

[Dick]

Homework Statement

Attached

Homework Equations

The Attempt at a Solution

At (-1, -5), moving up along y causes a drop in the value of the function, so the first derivative wrt y is negative.

Since the contour lines also get closer in this direction, the function is dropping at in increasing rate, so the second derivative yy is negative.

Is that all there is to it?

That sounds right to me.