Optimization question regarding optimality conditions

1. The problem statement, all variables and given/known data
Provide a visual illustration of the optimality conditions for an unconstrained problem

What type of illustration can I provide besides a one showing what local extrema of a function are, and describing what the hessian of a point, and gradient of a point actually is.

Help please!

http://ift.tt/1jYIx3H

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