In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...
Let f be a smooth function on the unit n-dimensional ball, with the C0-norm, equal to one. We prove that if for some k ⩾ 2, the norm of the kth derivative of f is bounded by 2-k - 1, then the set of ...
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