What does the second derivative actually do in math and physics?

What does the second derivative actually do in math and physics?
Transcript
…says the following: you don’t have to know what’s going on anywhere outside of a little ball; if you want to know what the potential is here, you tell me what it is on the surface of any ball, no matter how small—you don’t have to look outside, you just tell me what it is in the neighborhood—and how much mass there is in the ball. The rule is this... Read More
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