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单词 Increasing Function
释义

Increasing Function

A function increases on an Interval if for all , where . Conversely, a function decreases on an Interval if for all with .


If the Derivative of a Continuous Function satisfies on an Open Interval ,then is increasing on . However, a function may increase on an interval without having a derivative defined at allpoints. For example, the function is increasing everywhere, including the origin , despite the fact that theDerivative is not defined at that point.

See also Decreasing Function, Derivative, Nondecreasing Function, Nonincreasing Function
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更新时间:2024/11/15 2:05:03