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Here is the deal, no matter how many times you take the derivative of the sin graph, you never get zero b/c you get in a cycle, well, I just can't picture anything like that happening in real life b/c if you keep taking derivative, at some point of time, the graph has to be y=0 equation b/c the acceleration of the acceleration of the.... has to be at some point of time be zero. Do you follow me?