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The third derivative, unfortunately, was never given a name,
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and I don't know why.
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I think the main reason is that there are no equations
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that involve the third derivative explicitly.
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F=ma. The a is this fellow here,
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and nothing else is given an independent name.
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Of course, you can take a function
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and take derivatives any number of times.
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So you are supposed to know,
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for example, if x(t) is t^(n),
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you're supposed to know dx/dt is nt^(n-1).
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Then you're supposed to know derivatives of simple functions