Assertion: function's derivative | /r/HasProperty | 1 ∈
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Source sentences:
text: \frac {d^{k}s}{dt^{k}}}} exists and is continuous on [ 0 , 1 ] {\displaystyle } , where derivatives at the end-points 0 , 1 ∈ [ 0 , 1 ] {\displaystyle 0,1\in } are taken to be one sided derivatives (i.e., at 0 {\displaystyle 0} from the right, and at 1 {\displaystyle 1} from the left).