differentiable

• 数学分析中的术语，指函数在其定义域内每一点都可导，即每一点都存在导数。也可泛指可微分、光滑、可求导的性质。

A technical term used in mathematics and calculus to describe a function that has a derivative at each point in its domain.

1. Possessing a derivativeC1formal

   Describes a function that has a derivative at each point in its domain, meaning it is smooth enough to be differentiated.

   可微的

   • A polynomial function is always differentiable.
   • The function is not differentiable at the point where it has a sharp corner.
   • To apply the chain rule, the outer function must be differentiable.

2. Capable of being distinguishedC2formal

   Able to be perceived or recognized as different or distinct from something else.

   可区分的

   • The two species are barely differentiable without a microscope.
   • The symptoms are differentiable from a common cold.
   • The artist's style is clearly differentiable from his contemporaries.

   同义词discerniblediscriminabledistinguishableseparable

   反义词identicalindistinguishablesameundifferentiated