Higher Ordered Derivatives

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As you may recall from class, a higher ordered derivative is nothing more than a second derivative or greater. In other words, it is a function that was differentiated more than once. Why would we differentiate again? Well, higher ordered derivatives are usually used in finding the acceleration from teh position function, as seen below.

Position function = s(t) Velocity function = s'(t) Acceleration function = s''(t)